Ratios meet percents · grades 6–7
Percent Proportion Worksheet Generator
Practice the bridge between proportional reasoning and percentages using part / whole = percent / 100. The blank rotates among the part, whole, and percent positions, and every relationship is exact.
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Percent Proportion Practice
Percent proportions · Medium whole numbers · Seed 261401
13 / ____ = 25 / 100
42 / ____ = 70 / 100
____ / 60 = 80 / 100
28 / 35 = ____ / 100
____ / 60 = 40 / 100
90 / ____ = 90 / 100
18 / ____ = 30 / 100
27 / ____ = 90 / 100
2 / ____ = 20 / 100
____ / 36 = 75 / 100
2 / 10 = ____ / 100
6 / 15 = ____ / 100
____ / 130 = 70 / 100
135 / ____ = 90 / 100
4 / ____ = 20 / 100
9 / 18 = ____ / 100
____ / 75 = 80 / 100
18 / 20 = ____ / 100
Setting up a percent proportion
A percent is a ratio out of 100, so every percent problem can be written as part over whole equals percent over 100. One of the three values is unknown. Label which number is the part and which is the whole before writing the proportion, and keep 100 as the denominator of the percent ratio. Then solve by scaling or by cross-multiplying.
Worked examples
- What is 30% of 60? Write p/60 = 30/100. Then p = 30 × 60 ÷ 100 = 18.
- What percent is 12 of 40? Write 12/40 = x/100. Since 40 times 2.5 is 100, x = 12 × 2.5 = 30, so 30%.
- 20 is 40% of what number? Write 20/w = 40/100. Then w = 20 × 100 ÷ 40 = 50.
Common slips
- Putting the percent number in the part slot. In 30% of 60, the percent goes over 100, not over 60.
- Using the wrong whole. In '12 is what percent of 40', the whole is 40, not 12.
- Changing the 100. The denominator of the percent ratio stays 100 in every problem.
How to use this worksheet
Ask students to label part, whole, and percent above each number first, then set up the proportion. The answer key shows the missing value, and the label step makes it easy to see where a setup went wrong.
Common Core connection
- 6.RP.A.3.c · Find a percent of a quantity and solve problems involving the whole or percent.
A practical match for the skill this worksheet practises, not a claim that one worksheet teaches or assesses the whole standard. Check the official math standards.
Have students label which value is the part and which is the whole before setting up the proportion.
The 100 in the percent ratio is fixed; the unknown may be the numerator percent, the part, or the reference whole.
Connect these problems to the dedicated percentage generator after students understand why a percent is a ratio out of 100.
Model it: 'what is 30% of 60?' becomes part over 60 equals 30 over 100, so the part is 30 times 60 divided by 100, which is 18.
Watch for students who put the percent number in the part slot (30 over 60 equals x over 100). The 100 stays fixed as the denominator of the percent ratio.
Mix simplifying, tables, unit rates, proportions, and percent proportions in one generator.
Continue to percentage reasoning →Use the dedicated percentage tool for percent of a number, finding the whole, percent change, and consumer math.
More skills in this set
Frequently asked questions
What form does the generator use?
Problems use the relationship part / whole = percent / 100.
Which standard does this practice?
CCSS 6.RP.A.3c: find a percent of a quantity as a rate per 100, set up here explicitly as a proportion. It also supports 7.RP.A.3.
When is the proportion better than multiplying by a decimal?
The proportion keeps the part and whole roles visible and solves all three cases (missing part, whole, or percent) with one setup, which helps students who confuse the operations.
Can the missing value be the percent?
Yes. The blank rotates among percent, part, and whole forms.
Will answers repeat or require rounding?
Problems are deduplicated and constructed from exact benchmark whole-number percentages.
Is this the same as the percentage generator?
It targets the same part-whole relationship but explicitly presents it as a proportion to connect ratio reasoning with percents.