Learn the basics of how to calculation percentages of quantities in this simple lesson! To discover a percent of any type of number, use this generic guideline of TRANSLATION: change the percentage into a decimal, and the native "of" into multiplication. See countless examples below.

You are watching: 1% of 60

The concepts and also ideas the this class are likewise explained in this video:

You have learned that to find 1% the a number method finding 1/100 that it. Similarly, finding 60% of a number method finding 60/100 (or 6/10) that it.In this expressions, words “of” translates into multiplication:1% of 90 → 1% × 90&

60% that $700 → 60% × $700.

We can also write those percentages together decimals:1% the 90 → 0.01 × 90

60% the $700 → 0.6 × $700.

This provides us another means to calculation the percent of a number (or portion of some quantity):

To calculation a percent of part number, adjust the percentage right into a decimal, and also the word "of" right into multiplication.
Example 1. Find 70% of 80.

Following the shortcut, we write this together 0.7 × 80.

Remember that in decimal multiplication, girlfriend multiply as if there to be no decimal points, and the prize will have actually as many “decimal digits” come the appropriate of the decimal allude as the total variety of decimal number of every one of the factors. So as soon as you main point 0.7 × 80, think of multiply 7 × 80 = 560. Because 0.7 has actually one decimal digit, and also 80 has actually none, the answer has actually one decimal digit: 56.0 Thus, 0.7 × 80 = 56.

You can additionally use “common sense” to reason it through logically: 0.7 × 80 should be much less than 80, yet much more than 1/2 that 80, which is 40. Due to the fact that 7 × 8 = 56, you know that the answer must be 56—not 5.6 or 560.

Example 2. Find 3% of $4,000.

First create it as 0.03 × $4,000. Then multiply 3 × $4,000 = $12,000. Ultimately put the decimal allude where it offers the answer two decimal digits: $120.00.

Example 3. Find 23% of 5,500km.

Write the expression together 0.23×5,500km and also use a calculator to calculate the product. The prize is 1,265km. This answer renders sense since 10% of 5,500km is 550km, for this reason 20% is 1,100km. Hence 1,265km as 23% that 5,500km is a reasonable answer.

1. "Translate" the expressions into multiplication by a decimal. Calculate.

a. 20% the 70

______ × ______ = ______

b. 90% of 50______ × ______ = ______c. 9% that 3,000______ × ______ = ______
2. "Translate" the other way: compose the multiplications as expressions that "percentage the the number".

a. 0.6 × 50

_____% of ______ = ______

b. 0.03 × $400_____% that ______ = ______c. 0.08 × 6_____% the ______ = ______
*
3. Use a calculator to uncover percentages of these quantities.

a. 17% the $4500

b. 67% of 27 m

4. Use psychological math to uncover percentages of these quantities.

a. 25% that 240 mi

5. a. A lake has a 30-km long shoreline. 6% of that is sandy beach. What portion of the shoreline is not sandy beach?

6. Twenty percent of a university’s 4,000 students have a scholarship.

a. What percent of the students carry out not have a scholarship?

b. How plenty of students have a scholarship?

8. Recognize the errors the Gladys made. Then uncover the correct answer.


9. Uncover the expressions through the same value together 20% of $620.

0.02 × $620$620 ÷ 5
$620 ÷ 10 × 22 × $62

1

*

5

× $620
0.2 × $62020 × $620$620 ÷ 411. The table below shows Andy’s intake of time in one day.

a. Calculate the time he invested in each activity. ring the minutes to the nearest minute.

b.

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brand the sections in the one graph with the name of every activity.

Andy’s intake of Time

*
ActivityPercentMinutesHours/minutes
Sleep38%
School21%
Soccer10%1442 h 24 min
Play11%
Eating9%
Chores9%
Hygiene2%
TOTAL100%144024 hours

See also

Percent – cost-free lesson

Percentage that a number using psychological math – cost-free lesson

How to calculate percentages – cost-free lesson

Basics of percent of readjust – complimentary lesson

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