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

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What percentageof the elevation of a 15-ft tree isa 3-ft sapling?A choir has actually 22 women and also 18 men. Discover what percentageof the choir’s members aremen.One pair that jeans costs $25 and also another costs $28. How numerous percent is the price that cheaper jeans of the price the the much more expensive jeans?

Look carefully at the concerns above. Notification that the problems don’t tell friend the percentage; in other words,there is no number in the trouble written together x%. Instead, they ask friend to find it!

Questions through “What percent ... ?” or "How numerous percent ... ?"

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

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

First uncover out the part that is being asked for together a fraction.The denominator most likely won’t be 100.Convert that portion to a decimal. Then you have the right to easily convert the decimal to a percentage!

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

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

Example 2. One pair that jeans expenses $25 and the other expenses $28.How many percent is the price of cheaper blue jeans of the price that the more expensive jeans?

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

1. a. What portion of a 15-ft tree is a small 3-ft sapling?

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

2. Find how many percent the smaller sized object’s elevation is that the taller object’s height.


6 m

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

a. How many percent is the smaller sized child’s age of the older child’s age?


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

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


5. The circle graph at the right provides the angle measure up of every sector the the circle. Find what percentage each ar is the the entirety circle, and also write the percent in the sector. Remember, the whole circle is 360°.

See also

Percent – totally free lesson

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

How to calculation percentages of number – totally free lesson

Basics the percent of change – totally free lesson

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

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