Calculate 75/100 as a Percentage: Fraction Conversion Problem

Fraction to Percentage with Direct Division

Calculate 75 over 100 as a percentage:

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Step-by-step written solution

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1

Understand the problem

Calculate 75 over 100 as a percentage:

2

Step-by-step solution

In order to determine what percentage 75 is out of 100, we use the following formula:

Percentage=PartWhole×100% \text{Percentage} = \frac{\text{Part}}{\text{Whole}} \times 100\%

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We begin by substituting in the known values:

Percentage=75100×100%=75% \text{Percentage} = \frac{75}{100} \times 100\% = 75\%

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Thus, 75 out of 100 is 75% 75\% .

3

Final Answer

75%

Key Points to Remember

Essential concepts to master this topic
  • Formula: Percentage = (Part/Whole) × 100%
  • Technique: 75100×100%=75% \frac{75}{100} \times 100\% = 75\%
  • Check: 75% means 75 out of 100 parts ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to multiply by 100%
    Don't just leave your answer as 0.75 or 3/4! This gives you the decimal form, not the percentage. The question asks for a percentage, so you must multiply by 100%. Always multiply your fraction result by 100% to convert to percentage form.

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 multiply by 100% to get a percentage?

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A percentage means "per hundred", so multiplying by 100% converts your decimal or fraction into parts per hundred. For example, 75100=0.75 \frac{75}{100} = 0.75 , and 0.75×100%=75% 0.75 \times 100\% = 75\% .

Is 75/100 already simplified as a percentage?

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Yes! When the denominator is already 100, the numerator becomes your percentage directly. 75 out of 100 = 75%. This is why fractions with denominator 100 are so easy to convert.

What if the fraction had a different denominator?

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You'd still use the same formula! For example, 34=34×100%=75% \frac{3}{4} = \frac{3}{4} \times 100\% = 75\% . The process works for any fraction.

Can I just move the decimal point instead?

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Yes! Since 75100=0.75 \frac{75}{100} = 0.75 , you can move the decimal point two places right to get 75%. This works because multiplying by 100 shifts the decimal two places.

How do I know my percentage is reasonable?

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Think logically: 75 is 3/4 of 100, which should be close to 75%. Since 75 is more than half of 100, your percentage should be greater than 50%, which 75% is!

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