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Mathematics for Machine Technology

John C. Peterson, Robert D. Smith

Chapter 23

Basic Calculations of Percentages, Percents, and Rates - all with Video Answers

Educators

Chapter Questions

00:33

Problem 1

Express 5.037 as a percent.

Emily Himsel
Emily Himsel
Numerade Educator
01:59

Problem 2

If 2100 parts can be produced in 5.25 hours, how long will it take to produce 26,000 parts?

Aman Gupta
Aman Gupta
Numerade Educator
01:20

Problem 3

Solve $57.12 \times \sqrt{2.52+7.48}$. If necessary, round the answer to 2 decimal places.

Julie Silva
Julie Silva
Numerade Educator
01:05

Problem 4

Raise $\left(\frac{21.5}{4.3}\right)^3$ to the indicated power.

Priyanka Sadarangani
Priyanka Sadarangani
Numerade Educator
01:07

Problem 5

The length, $L$, of the standard $82^{\circ}$ included angle drill can be calculated using the formula $L=0.575 \not$, where $\varnothing$ represents the diameter of the drill. Determine the length of a drill point with a diameter of $12.5 \mathrm{~mm}$. Round your answer to 1 decimal place.

Carson Merrill
Carson Merrill
Numerade Educator
00:18

Problem 6

Write the number 107.2004 as words.

Brandon Fox
Brandon Fox
Numerade Educator
01:03

Problem 7

Find each percentage. Round the answers to 2 decimal places when necessary.
20% of 80

Cory Kuzinski
Cory Kuzinski
Numerade Educator
00:33

Problem 8

Find each percentage. Round the answers to 2 decimal places when necessary.
2.15% of 80

Victor Salazar
Victor Salazar
Numerade Educator
01:08

Problem 9

Find each percentage. Round the answers to 2 decimal places when necessary.
60% of 200

Trinity Steen
Trinity Steen
Numerade Educator
00:31

Problem 10

Find each percentage. Round the answers to 2 decimal places when necessary.
15.23% of 150

James Kiss
James Kiss
Numerade Educator
00:28

Problem 11

Find each percentage. Round the answers to 2 decimal places when necessary.
25% of 312.6

Brittany Scott
Brittany Scott
Numerade Educator
00:45

Problem 12

Find each percentage. Round the answers to 2 decimal places when necessary.
7% of 140.34

Yujie Wang
Yujie Wang
College of San Mateo
02:29

Problem 13

Find each percentage. Round the answers to 2 decimal places when necessary.
156% of 65

Ruby P
Ruby P
Numerade Educator

Problem 14

Find each percentage. Round the answers to 2 decimal places when necessary.
0.8% of 214

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00:58

Problem 15

Find each percentage. Round the answers to 2 decimal places when necessary.
12.7% of 295

Subhadeepta Sahoo
Subhadeepta Sahoo
Numerade Educator

Problem 16

Find each percentage. Round the answers to 2 decimal places when necessary.
122% of 1.68

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01:28

Problem 17

Find each percentage. Round the answers to 2 decimal places when necessary.
140% of 280

Teresa Fuston
Teresa Fuston
Numerade Educator
00:39

Problem 18

Find each percentage. Round the answers to 2 decimal places when necessary.
$1.8 \%$ of 1240

Liuxi Sun
Liuxi Sun
Numerade Educator
01:43

Problem 19

Find each percentage. Round the answers to 2 decimal places when necessary.
$39 \%$ of 18.3

Gokul R Nair
Gokul R Nair
Numerade Educator
00:48

Problem 20

Find each percentage. Round the answers to 2 decimal places when necessary.
$0.42 \%$ of 50

Melissa Lupinacci
Melissa Lupinacci
Numerade Educator

Problem 21

Find each percentage. Round the answers to 2 decimal places when necessary.
$0.03 \%$ of 424.6

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00:14

Problem 22

Find each percentage. Round the answers to 2 decimal places when necessary.
$8 \frac{1}{2} \%$ of 375

James Kiss
James Kiss
Numerade Educator
01:25

Problem 23

Find each percentage. Round the answers to 2 decimal places when necessary.
$\frac{3}{4} \%$ of 132

Erin Kearney
Erin Kearney
Numerade Educator

Problem 24

Find each percentage. Round the answers to 2 decimal places when necessary.
$296.5 \%$ of 81

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00:18

Problem 25

Find each percentage. Round the answers to 2 decimal places when necessary.
$15 \frac{1}{4} \%$ of $35 \frac{1}{4}$

Tony Ni
Tony Ni
Numerade Educator
01:30

Problem 26

Find each percentage. Round the answers to 2 decimal places when necessary.
$\frac{17}{50} \%$ of $139 \frac{3}{10}$

James Kiss
James Kiss
Numerade Educator
01:06

Problem 27

Find each percent (rate). Round the answers to 2 decimal places when necessary.
What percent of 8 is 4 ?

Debasish Das
Debasish Das
Numerade Educator
00:15

Problem 28

Find each percent (rate). Round the answers to 2 decimal places when necessary.
What percent of 20.7 is $5.6 ?$

Tony Ni
Tony Ni
Numerade Educator

Problem 29

Find each percent (rate). Round the answers to 2 decimal places when necessary.
What percent of 100 is 37 ?

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00:37

Problem 30

Find each percent (rate). Round the answers to 2 decimal places when necessary.
What percent of 84.37 is 70.93 ?

Victor Salazar
Victor Salazar
Numerade Educator
00:37

Problem 31

Find each percent (rate). Round the answers to 2 decimal places when necessary.
What percent of 70.93 is 84.37 ?

Victor Salazar
Victor Salazar
Numerade Educator
00:49

Problem 32

Find each percent (rate). Round the answers to 2 decimal places when necessary.
What percent of 258 is 97 ?

James Kiss
James Kiss
Numerade Educator
01:25

Problem 33

Find each percent (rate). Round the answers to 2 decimal places when necessary.
What percent of 132.7 is 206.3 ?

Erin Kearney
Erin Kearney
Numerade Educator

Problem 34

Find each percent (rate). Round the answers to 2 decimal places when necessary.
What percent of 19.5 is 5.5 ?

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00:51

Problem 35

Find each percent (rate). Round the answers to 2 decimal places when necessary.
What percent of 1.25 is 0.5 ?

Ashley Jordon
Ashley Jordon
Numerade Educator
00:51

Problem 36

Find each percent (rate). Round the answers to 2 decimal places when necessary.
What percent of 0.5 is 1.25 ?

Ashley Jordon
Ashley Jordon
Numerade Educator
00:26

Problem 37

Find each percent (rate). Round the answers to 2 decimal places when necessary.
What percent of $6 \frac{1}{2}$ is 2 ?

Deborah Ferry
Deborah Ferry
Numerade Educator
00:33

Problem 38

Find each percent (rate). Round the answers to 2 decimal places when necessary.
What percent of 134 is $156 \frac{3}{4}$ ?

Melissa Lupinacci
Melissa Lupinacci
Numerade Educator
00:51

Problem 39

Find each percent (rate). Round the answers to 2 decimal places when necessary.
What percent of $\frac{7}{8}$ is $\frac{3}{8}$ ?

Tricia Watkins
Tricia Watkins
Numerade Educator
00:51

Problem 40

Find each percent (rate). Round the answers to 2 decimal places when necessary.
What percent of $\frac{3}{8}$ is $\frac{7}{8}$ ?

Tricia Watkins
Tricia Watkins
Numerade Educator
00:12

Problem 41

Find each percent (rate). Round the answers to 2 decimal places when necessary.
What percent of 3.08 is $4.76 ?$

Brandon Fox
Brandon Fox
Numerade Educator
00:10

Problem 42

Find each percent (rate). Round the answers to 2 decimal places when necessary.
What percent of 0.65 is 0.09 ?

Brandon Fox
Brandon Fox
Numerade Educator

Problem 43

Find each percent (rate). Round the answers to 2 decimal places when necessary.
What percent of $12 \frac{1}{4}$ is 3 ?

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01:06

Problem 44

Find each percent (rate). Round the answers to 2 decimal places when necessary.
What percent of 312 is $400.9 ?$

Cory Kuzinski
Cory Kuzinski
Numerade Educator
00:12

Problem 45

Find each percent (rate). Round the answers to 2 decimal places when necessary.
What percent of $\frac{3}{4}$ is $\frac{3}{8}$ ?

Brandon Fox
Brandon Fox
Numerade Educator
01:57

Problem 46

Find each percent (rate). Round the answers to 2 decimal places when necessary.
What percent of $13 \frac{4}{5}$ is $6 \frac{3}{10}$ ?

Melissa Lupinacci
Melissa Lupinacci
Numerade Educator

Problem 47

Find each base. Round the answers to 2 decimal places when necessary.
15 is $10 \%$ of what number?

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01:03

Problem 48

Find each base. Round the answers to 2 decimal places when necessary.
25 is $80 \%$ of what number?

Cory Kuzinski
Cory Kuzinski
Numerade Educator
01:03

Problem 49

Find each base. Round the answers to 2 decimal places when necessary.
80 is $25 \%$ of what number?

Cory Kuzinski
Cory Kuzinski
Numerade Educator

Problem 50

Find each base. Round the answers to 2 decimal places when necessary.
3.8 is $95.3 \%$ of what number?

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Problem 51

Find each base. Round the answers to 2 decimal places when necessary.
13.6 is $8 \%$ of what number?

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Problem 52

Find each base. Round the answers to 2 decimal places when necessary.
123.86 is $88.7 \%$ of what number?

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01:11

Problem 53

Find each base. Round the answers to 2 decimal places when necessary.
203 is $110 \%$ of what number?

Cory Kuzinski
Cory Kuzinski
Numerade Educator

Problem 54

Find each base. Round the answers to 2 decimal places when necessary.
$44 \frac{1}{3}$ is $60 \%$ of what number?

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Problem 55

Find each base. Round the answers to 2 decimal places when necessary.
$7 \frac{1}{2}$ is $180 \%$ of what number?

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Problem 56

Find each base. Round the answers to 2 decimal places when necessary.
10 is $6 \frac{1}{4} \%$ of what number?

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Problem 57

Find each base. Round the answers to 2 decimal places when necessary.
190.75 is $70.5 \%$ of what number?

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Problem 58

Find each base. Round the answers to 2 decimal places when necessary.
6 .6 is $3.3 \%$ of what number?

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Problem 59

Find each base. Round the answers to 2 decimal places when necessary.
88 is $205 \%$ of what number?

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00:39

Problem 60

Find each base. Round the answers to 2 decimal places when necessary.
1 .3 is $0.9 \%$ of what number?

Cory Kuzinski
Cory Kuzinski
Numerade Educator
00:51

Problem 61

Find each base. Round the answers to 2 decimal places when necessary.
$\frac{7}{8}$ is $175 \%$ of what number?

Tricia Watkins
Tricia Watkins
Numerade Educator
00:39

Problem 62

Find each base. Round the answers to 2 decimal places when necessary.
$\frac{1}{10}$ is $1 \frac{1}{5} \%$ of what number?

Cory Kuzinski
Cory Kuzinski
Numerade Educator

Problem 63

Find each base. Round the answers to 2 decimal places when necessary.
9 .3 is $238.6 \%$ of what number?

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Problem 64

Find each base. Round the answers to 2 decimal places when necessary.
0 .84 is $2.04 \%$ of what number?

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01:03

Problem 65

Find each base. Round the answers to 2 decimal places when necessary.
$20 \frac{1}{2}$ is $71 \%$ of what number?

Cory Kuzinski
Cory Kuzinski
Numerade Educator

Problem 66

Find each base. Round the answers to 2 decimal places when necessary.
$\frac{3}{4}$ is $123 \%$ of what number?

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00:34

Problem 67

Find each percentage, percent (rate), or base. Round the answers to 2 decimal places when necessary.
What percent of 24 is 18 ?

Liuxi Sun
Liuxi Sun
Numerade Educator
00:10

Problem 68

Find each percentage, percent (rate), or base. Round the answers to 2 decimal places when necessary.
What is $30 \%$ of 50 ?

Yingtai Xiao
Yingtai Xiao
Numerade Educator

Problem 69

Find each percentage, percent (rate), or base. Round the answers to 2 decimal places when necessary.
What is $123.8 \%$ of 12.6 ?

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00:59

Problem 70

Find each percentage, percent (rate), or base. Round the answers to 2 decimal places when necessary.
73 is $82 \%$ of what number?

Mary Brese
Mary Brese
Numerade Educator
00:26

Problem 71

Find each percentage, percent (rate), or base. Round the answers to 2 decimal places when necessary.
What percent of $10 \frac{1}{2}$ is 2 ?

Deborah Ferry
Deborah Ferry
Numerade Educator
00:26

Problem 72

Find each percentage, percent (rate), or base. Round the answers to 2 decimal places when necessary.
$\qquad$ is $48 \%$ of 94.82 .

Brandon Fox
Brandon Fox
Numerade Educator

Problem 73

Find each percentage, percent (rate), or base. Round the answers to 2 decimal places when necessary.
$72.4 \%$ of 212.7 is $\qquad$

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01:21

Problem 74

Find each percentage, percent (rate), or base. Round the answers to 2 decimal places when necessary.
What percent of 228 is $256 ?$

Christopher Stanley
Christopher Stanley
Numerade Educator
01:03

Problem 75

Find each percentage, percent (rate), or base. Round the answers to 2 decimal places when necessary.
51.03 is $88 \%$ of what number?

Cory Kuzinski
Cory Kuzinski
Numerade Educator
00:05

Problem 76

Find each percentage, percent (rate), or base. Round the answers to 2 decimal places when necessary.
36.5 is $\qquad$ $\%$ of 27.6.

Yingtai Xiao
Yingtai Xiao
Numerade Educator
00:20

Problem 77

Find each percentage, percent (rate), or base. Round the answers to 2 decimal places when necessary.
$2 \frac{1}{4} \%$ of 150 is $\qquad$

Yingtai Xiao
Yingtai Xiao
Numerade Educator
01:24

Problem 78

Find each percentage, percent (rate), or base. Round the answers to 2 decimal places when necessary.
? is $18 \%$ of 120.66 .

Mary Brese
Mary Brese
Numerade Educator