Ratios & Proportional Relationships · Grade 6 · 6.RP.A.3.c
Roots of Reason
Roots of Reason
rootsofreason.org
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Part Percent Whole

Name Date Correct / 11
1 Set Up the Relationship - part ÷ whole = percent ÷ 100. Fill every box, even the two you already know.
1. What is 30% of 60?
= 100
Part =
2. 12 is what percent of 48?
= 100
Percent =
3. 24 is 40% of what number?
= 100
Whole =
2 Read Before You Compute - first circle what is missing: P (part), % (percent), or W (whole). Then solve in the space.
4. 150% of 40P%W
150% of 40 is
5. 45 out of 36P%W
45 is % of 36
6. 9 is 30% of itP%W
9 is 30% of
7. 0.5% of 800P%W
0.5% of 800 is
8. 17 is half of itP%W
17 is 50% of
9. 2.5 out of 250P%W
2.5 is % of 250
Roots of Reason CA CCSS 6.RP.A.3.c rootsofreason.org · Page 1 of 4
Ratios & Proportional Relationships · Grade 6 · 6.RP.A.3.c
Roots of Reason
Roots of Reason
rootsofreason.org
Part Percent Whole
3 In Context - shade the bar to match the problem. The whole is the full bar.
10. Keisha has read 84 pages of her book. That is 35% of the whole book. How many pages does the book have?
The book has pages.
11. This month the tip jar holds $18. That is 120% of what it held last month. How much did it hold last month?
Last month the jar held
Roots of Reason CA CCSS 6.RP.A.3.c rootsofreason.org · Page 2 of 4
Ratios & Proportional Relationships · Grade 6 · 6.RP.A.3.c
Roots of Reason
Roots of Reason
rootsofreason.org
Answer Key

Part Percent Whole

1Set Up the Relationship
1. What is 30% of 60?
1860 = 30100
Part = 18
2. 12 is what percent of 48?
1248 = 25100
Percent = 25%
3. 24 is 40% of what number?
2460 = 40100
Whole = 60
2Read Before You Compute
4. 150% of 40P
1.5 × 40
150% of 40 is 60
5. 45 out of 36%
45 ÷ 36 = 1.25
45 is 125 % of 36
6. 9 is 30% of itW
9 ÷ 0.30
9 is 30% of 30
7. 0.5% of 800P
0.005 × 800, half a percent
0.5% of 800 is 4
8. 17 is half of itW
17 × 2
17 is 50% of 34
9. 2.5 out of 250%
2.5 ÷ 250 = 0.01
2.5 is 1 % of 250
Roots of Reason CA CCSS 6.RP.A.3.c rootsofreason.org · Page 3 of 4
Ratios & Proportional Relationships · Grade 6 · 6.RP.A.3.c
Roots of Reason
Roots of Reason
rootsofreason.org
Answer Key
3In Context
10. Keisha has read 84 pages of her book. That is 35% of the whole book. How many pages does the book have?
35% = 84 pages100% = ?
84 ÷ 35 = 2.4 pages for each 1% 2.4 × 100 = 240
The book has 240 pages.
11. This month the tip jar holds $18. That is 120% of what it held last month. How much did it hold last month?
18 ÷ W = 120 ÷ 100, so W = 18 × 100 ÷ 120 = 15 120% of last month means last month was SMALLER than $18
Last month the jar held $15