Learn the basics of how to calculation percentages of amounts in this easy lesson! To uncover a portion of any type of number, use this generic guideline of TRANSLATION: change the percentage into a decimal, and the indigenous "of" right into multiplication. See plenty of examples below.

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The concepts and also ideas that this lesson are additionally explained in this video:

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

60% the $700 → 60% × $700.

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

60% of $700 → 0.6 × $700.

This provides us another method to calculate the portion of a number (or percent of part quantity):

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

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

Remember the in decimal multiplication, friend multiply together if there to be no decimal points, and also the prize will have actually as numerous “decimal digits” to the best of the decimal allude as the total number of decimal digits of all of the factors. So when you multiply 0.7 × 80, think of multiplying 7 × 80 = 560. Because 0.7 has one decimal digit, and 80 has none, the answer has one decimal digit: 56.0 Thus, 0.7 × 80 = 56.

You can likewise use “common sense” to factor it v logically: 0.7 × 80 have to be much less than 80, yet more than 1/2 the 80, i m sorry is 40. Since 7 × 8 = 56, you know that the answer should be 56—not 5.6 or 560.

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

First compose it as 0.03 × $4,000. Then multiply 3 × $4,000 = $12,000. Ultimately put the decimal suggest where it offers the answer 2 decimal digits: $120.00.

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

Write the expression as 0.23×5,500km and also use a calculator to calculate the product. The answer is 1,265km. This answer makes sense due to the fact that 10% the 5,500km is 550km, so 20% is 1,100km. For this reason 1,265km as 23% the 5,500km is a reasonable answer.

1. "Translate" the expressions right into multiplication through a decimal. Calculate.

a. 20% that 70

______ × ______ = ______

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

a. 0.6 × 50

_____% that ______ = ______

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

a. 17% of $4500

b. 67% the 27 m

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

a. 25% of 240 mi

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

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

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

b. How countless students have a scholarship?

8. Recognize the errors that Gladys made. Then discover the correct answer.


9. Find the expressions v the exact same value as 20% that $620.

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

1

*

5

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

a. Calculate the time he spent in every activity. round the minute to the nearest minute.

b.

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

Andy’s consumption 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 the a number using psychological math – complimentary lesson

How to calculate percentages – free lesson

Basics that percent of adjust – free lesson

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

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