Calculate 75% of 100: Step-by-Step Percentage Solution

Q: Why do I need to convert 75% to 0.75 first?

A percentage is a fraction out of 100. So 75% really means 75/100 = 0.75. You can't multiply the raw number 75 by 100 because that ignores the percentage symbol!

Q: Is there a shortcut for calculating percentages?

Yes! For easy percentages like 50% (half), 25% (quarter), or 75% (three-quarters), you can use fractions: 75% of 100 = 3/4 × 100 = 75.

Q: How can I check if my percentage calculation is correct?

Ask yourself: "Does this make sense?" 75% should be less than the original number but more than half. Since 75 50, our answer checks out!

Q: Can I calculate this without a calculator?

Absolutely! Think of 75% as three-quarters. So 75% of 100 = 3/4 of 100 = 3 × 25 = 75. Mental math works great for nice percentages!

Percentage Calculations with Decimal Conversion

Calculate 75% of 100:

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Calculate 75% of 100:

Step-by-step solution

In order to calculate 75% of 100, we must first convert the percent into a decimal. Convert 75% to a decimal: $75\% = 0.75$ .

Then multiply by the whole number: $0.75 \times 100 = 75$ .

Therefore, 75% of 100 is $75$ .

Final Answer

$75$

Key Points to Remember

Essential concepts to master this topic

Rule: Convert percentage to decimal by dividing by 100
Technique: Multiply decimal by whole number: $0.75 \times 100 = 75$
Check: Verify 75 is three-quarters of 100 since 75% = 3/4 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to convert percentage to decimal
Don't multiply 75 × 100 directly = 7,500! This ignores that 75% means 75/100. Always convert the percentage to decimal form (0.75) before multiplying.

Practice Quiz

Test your knowledge with interactive questions

Calculate 30 over 100 as a percentage:

FAQ

Everything you need to know about this question

Why do I need to convert 75% to 0.75 first?

A percentage is a fraction out of 100. So 75% really means 75/100 = 0.75. You can't multiply the raw number 75 by 100 because that ignores the percentage symbol!

Is there a shortcut for calculating percentages?

Yes! For easy percentages like 50% (half), 25% (quarter), or 75% (three-quarters), you can use fractions: 75% of 100 = 3/4 × 100 = 75.

What if I get a different number than 100 to work with?

The same steps apply! Convert 75% to 0.75, then multiply by your number. For example: 75% of 80 = $0.75 \times 80 = 60$ .

How can I check if my percentage calculation is correct?

Ask yourself: "Does this make sense?" 75% should be less than the original number but more than half. Since 75 < 100 and 75 > 50, our answer checks out!

Can I calculate this without a calculator?

Absolutely! Think of 75% as three-quarters. So 75% of 100 = 3/4 of 100 = 3 × 25 = 75. Mental math works great for nice percentages!

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