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

You are watching: 9 is what percent of 20

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

Look carefully at the inquiries above. Notice that the problems don’t tell girlfriend the percentage; in various other words,there is no number in the difficulty written together x%. Instead, they ask girlfriend to discover it!

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

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

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

First discover out the part that is being asked for together a fraction.The denominator probably won’t be 100.Convert that portion to a decimal. Climate you deserve to easily convert the decimal to a percentage!

Example 1. A choir has 22 women and also 18 men. Find what portion of the choir’s members room men.

Find the end what part (fraction) the the choir’s members room 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 the jeans costs $25 and also the other prices $28.How numerous percent is the price that cheaper blue jeans of the price the the an ext expensive jeans?

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

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

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

2. Find how numerous percent the smaller sized object’s height is of the higher object’s height.

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6 m

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

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

b.

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

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

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5. The one graph at the right gives the angle measure up of every sector of the circle. Find what portion each sector is of the whole circle, and write the portion in the sector. Remember, the whole circle is 360°.

See also

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

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