Learn the basics of how to calculation percentages of amounts in this straightforward lesson! To discover a portion of any type of number, use this generic reminder of TRANSLATION: readjust the percentage right into a decimal, and the word "of" right into multiplication. See countless examples below.

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

60% the $700 → 60% × $700.

We can likewise write those percentages as decimals:1% of 90 → 0.01 × 90

60% that $700 → 0.6 × $700.

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

To calculate a percent of some number, adjust the percentage into a decimal, and also the native "of" into multiplication.
Example 1. Find 70% that 80.

Following the shortcut, we create this as 0.7 × 80.

Remember that in decimal multiplication, girlfriend multiply together if there to be no decimal points, and the answer will have as countless “decimal digits” come the ideal of the decimal allude as the total number of decimal number of every one of the factors. So once you multiply 0.7 × 80, think of multiply 7 × 80 = 560. Due to the fact that 0.7 has one decimal digit, and 80 has actually none, the answer has one decimal digit: 56.0 Thus, 0.7 × 80 = 56.

You can also use “common sense” to reason it v logically: 0.7 × 80 should be less than 80, yet more than 1/2 of 80, which is 40. Because 7 × 8 = 56, you know that the answer have to be 56—not 5.6 or 560.

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

First write it together 0.03 × $4,000. Climate multiply 3 × $4,000 = $12,000. Finally put the decimal suggest where it provides the answer two decimal digits: $120.00.

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

Write the expression together 0.23×5,500km and also use a calculator to calculation the product. The price is 1,265km. This answer renders sense since 10% the 5,500km is 550km, therefore 20% is 1,100km. Therefore 1,265km as 23% the 5,500km is a reasonable answer.

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

a. 20% the 70

______ × ______ = ______

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

a. 0.6 × 50

_____% that ______ = ______

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

a. 17% the $4500

b. 67% of 27 m

4. Use mental math to discover percentages of this quantities.

a. 25% that 240 mi

5. a. A lake has a 30-km lengthy shoreline. 6% of it is sandy beach. What portion of the coast is no sandy beach?

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

a. What percent of the students perform not have actually a scholarship?

b. How plenty of students have a scholarship?

8. Determine the errors the Gladys made. Then discover the correct answer.


9. Uncover the expressions v the exact same value together 20% the $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 usage of time in one day.

a. Calculate the moment he spent in each activity. ring the minutes to the nearest minute.

b.

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label the part in the circle graph with the name of every activity.

Andy’s usage of Time

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

See also

Percent – totally free lesson

Percentage the a number using mental math – cost-free lesson

How to calculate percentages – complimentary lesson

Basics that percent of adjust – complimentary lesson

Interactive fraction, decimal and percentage toolThis tool mirrors you a portion visually (bar or pie) and converts the portion into a percentage and decimal. You can present or hide the equivalent percentage and decimal./interactives/fraction_decimal_percentage.php

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