Part ÷ whole reasoning · grades 6–7
Finding the Percent Worksheet Generator
Generate part-and-whole problems where students must find the percentage. The part is derived from one exact rate and whole, so the intended percent can be recovered cleanly.
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Finding the Percent Practice
Finding the percent · Multiples of 5% · Seed 261301
306 is ____% of 680
95 is ____% of 190
33 is ____% of 660
238 is ____% of 680
442 is ____% of 520
448 is ____% of 640
99 is ____% of 495
460 is ____% of 575
247 is ____% of 494
516 is ____% of 688
32 is ____% of 640
261 is ____% of 580
44 is ____% of 55
133 is ____% of 190
72 is ____% of 96
22 is ____% of 40
231 is ____% of 420
117 is ____% of 260
Finding what percent one number is of another
To find what percent a part is of a whole, divide the part by the whole and write the decimal as a percent. The whole is the number that comes after 'of'. A percent can be greater than 100 if the part is larger than the whole. Check the answer by finding that percent of the whole to see if it gives back the part.
Worked examples
- What percent is 18 of 24? 18 ÷ 24 = 0.75, which is 75%.
- 15 out of 60: 15 ÷ 60 = 0.25, so 25%.
- 7 out of 8: 7 ÷ 8 = 0.875, which is 87.5%.
- Check: 75% of 24 is 0.75 × 24 = 18, which matches the part.
Common slips
- Dividing the whole by the part. 24 ÷ 18 is about 133%, not the percent that 18 is of 24.
- Forgetting to multiply the decimal by 100 when writing the percent.
- Using the wrong whole. In 'What percent of 40 is 12?', the whole is 40.
How to use this worksheet
Ask students to underline the whole, the number after 'of', before dividing. The answer key gives each percent, so students can compare their decimal and percent forms.
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 identify the part and whole before choosing a procedure; swapping them is a common source of inverted answers.
Benchmark and multiples-of-5 sets work well before moving to any whole percent because students can estimate the reasonableness of the result.
Use mixed review only after students can distinguish 'find the percent' from 'find the whole' by reading the sentence structure.
Walk the structure once: '18 is what percent of 72?' is part divided by whole times 100, so 18 divided by 72 is 0.25, which is 25%.
A result like 400% on this skill usually means the whole was divided by the part (72 divided by 18); check that the number after 'of' was used as the whole.
More percentage practice
Switch the missing quantity
Questions people ask
Will finding-percent problems create repeating answers?
No. The generator starts from an exact percentage and constructs a compatible part-whole pair.
Which standard does this practice?
CCSS 6.RP.A.3c and 7.RP.A.3: express one quantity as a percent of another and solve multistep percent problems.
How do students know which number is the whole?
The whole almost always follows the word 'of'. The part is the quantity being compared to it, and the question asks what fraction of 100 that comparison is.
Can the percent be greater than 100%?
Yes in Extended or a custom range. That creates cases where the part is greater than the reference whole.
Is there a custom percentage range?
Yes. Custom mode accepts whole-number percentages from 1% through 200%.
Can I save one exact version?
Yes. Copy exact worksheet link preserves the settings and seed for the current problem set.