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

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

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

Look carefully at the questions above. Notification that the troubles don’t tell girlfriend the percentage; in other words,there is no number in the problem written as x%. Instead, they ask girlfriend to uncover it!

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

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

We deserve to solve these inquiries in a two-part process:

First find out the component that is gift asked for as a fraction.The denominator probably won’t it is in 100.Convert that fraction to a decimal. Climate you have the right to easily convert the decimal come a percentage!

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

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

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

Write what component the cheaper price is the the an ext expensive price. The price is 25/28.Write 25/28 as a percentage. A calculator gives 25/28 = 0.8928... Rounded to the nearest totality percent, that’s 89%.

1. a. What percent of a 15-ft tree is a little 3-ft sapling?

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

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


6 m

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

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


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

4. Create the percentages right into the sectors in the one graphs Think the fractions!


5. The circle graph in ~ the right gives the angle measure of each sector of the circle. Uncover what portion each ar is of the totality circle, and also write the percentage in the sector. Remember, the entirety circle is 360°.

See also

Percent – free lesson

Percentage of a number using psychological math – free lesson

How to calculation percentages of number – free lesson

Basics the percent of change – 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 display or hide the tantamount percentage and decimal./interactives/fraction_decimal_percentage.php

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