Visual guide to solving three types of percent problems using key words and mathematical equations.

Let’s solve each of the three percent problems shown in the image, using the key words rule:

> Key Words:
> - “of” → means multiply (•)
> - “is” → means equals (=)
> - “what” or “what number” → means the answer (a)

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Problem 1: What is 6% of 300?

Step-by-step:
- “What” → that’s our answer, call it a
- “is” → equals sign (=)
- “6%” → convert to decimal: 6 ÷ 100 = 0.06
- “of” → multiply (•)
- “300” → the number we’re taking percent of

So:
a = 0.06 • 300

Calculate:
0.06 × 300 = 18

✔ Answer: 18

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Problem 2: 15% of what number is 6?

Step-by-step:
- “15%” → convert to decimal: 15 ÷ 100 = 0.15
- “of” → multiply (•)
- “what number” → that’s our answer, call it a
- “is” → equals sign (=)
- “6” → the result

So:
0.15 • a = 6

To find a, divide both sides by 0.15:
a = 6 ÷ 0.15

Calculate:
6 ÷ 0.15 = 40

✔ Answer: 40

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Problem 3: What percent of 350 is 70?

Step-by-step:
- “What percent” → that’s our answer, call it a (but remember, this will be a percent, so we’ll convert at the end)
- “of” → multiply (•)
- “350” → the number we’re taking percent of
- “is” → equals sign (=)
- “70” → the result

So:
a • 350 = 70

To find a, divide both sides by 350:
a = 70 ÷ 350

Calculate:
70 ÷ 350 = 0.2

But since the question asks for “what percent”, convert decimal to percent:
0.2 × 100 = 20%

✔ Answer: 20%

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Final Answer:
18, 40, 20%