Learn exactly how to calculation percentages in this simple lesson! as soon as you"re asked to calculate an (unknown) percent ("What percentage...?"), you need to an initial write the fraction PART/TOTAL, and then merely write that portion as a decimal and as a percentage. See numerous examples below.

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

What percentageof the height of a 15-ft tree isa 3-ft sapling?A choir has 22 women and 18 men. Find what percentageof the choir’s members aremen.One pair the jeans prices $25 and also another expenses $28. How countless percent is the price that cheaper jeans of the price of the an ext expensive jeans?

Look very closely at the questions above. Notification that the problems don’t tell friend the percentage; in other words,there is no number in the problem written together x%. Instead, castle ask girlfriend to uncover it!

Questions with “What portion ... ?” or "How many percent ... ?"

Asking “What percentage?” or "How plenty of percent?" is the same as asking “How countless hundredth parts?”

We have the right to solve these concerns in a two-part process:

First uncover out the part that is gift asked for as a fraction.The denominator most likely won’t it is in 100.Convert that fraction to a decimal. Then you can easily transform the decimal come a percentage!

Example 1. A choir has actually 22 women and also 18 men. Uncover what percent of the choir’s members space men.

Find the end what component (fraction) that the choir’s members are men. The is 18/40, or 9/20.Write 9/20 together a percent. Use tantamount fractions: 9/20 = 45/100 = 45%.

Example 2. One pair that jeans prices $25 and also the other prices $28.How many percent is the price of cheaper jeans of the price of the an ext expensive jeans?

Write what component the cheaper price is the the more expensive price. The prize is 25/28.Write 25/28 together a percentage. A calculator gives 25/28 = 0.8928... Rounded come the nearest totality percent, that’s 89%.

1. a. What percentage of a 15-ft tree is a tiny 3-ft sapling?

b. How plenty of percent is $12 of $16?

2. Discover how countless percent the smaller object’s elevation is the the taller object’s height.


6 m

8 m
300 cm
120 cm
b.3. A 2-year old child procedures 32 customs tall and also weighs 24 pounds. A 10-year old child procedures 52 customs tall and also weighs 96 pounds.

a. How countless percent is the smaller child’s period of the larger child’s age?


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How numerous percent is the smaller child’s height of the enlarge child’s height?

4. Compose the percentages into the sectors in the circle graphs Think the fractions!


5. The one graph at the right provides the angle measure of each sector of the circle. Find what percentage each sector is the the totality circle, and also write the portion in the sector. Remember, the totality circle is 360°.

See also

Percent – free lesson

Percentage the a number using mental math – complimentary lesson

How to calculation percentages of numbers – totally free lesson

Basics of percent of adjust – free lesson

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

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