What is the percentage of 20 over 85?
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What is the percentage of 20 over 85?
To solve the problem of finding what percentage 20 is of 85, we proceed as follows:
To simplify, first reduce the fraction . Both numerator and denominator can be divided by 5:
Now apply the percentage conversion again:
This simplifies to:
To convert this to a mixed number, divide 400 by 17:
This gives us:
Upon reviewing, my calculations have led to an error in the intended remainder setup. Correct remainder procedure should yield:
Therefore, the percentage of 20 over 85 is .
Convert the fraction into a percentage:
\( \frac{24}{100}=\text{?} \)
Simplifying makes calculations easier! Working with instead of gives you smaller numbers. Both give the same answer: .
Divide the numerator by the denominator: remainder . So . Add the % symbol: .
For exact answers, you need the fraction form! A calculator gives 23.47%, but that's rounded. The problem asks for the exact percentage: .
Take your percentage of the original whole number. of 85 should equal 20. Convert to improper fraction: ✓
They're completely different! '20% of 85' means . But '20 out of 85' asks what percentage 20 represents, which is .
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