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Question:
Step 1: Rewrite the problem using the percent formula. The percent formula is below: \(\frac{\mathrm{part} }{\mathrm{whole}} = \frac{\mathrm{ \% } }{\mathrm{100}}\)
We are looking for percent, so that is where we will put x.
\(\frac{\mathrm{8} }{\mathrm{64}} = \frac{\mathrm{x} }{\mathrm{100}}\)
Step 2: Cross multiply.
\(64x=8 × 100\)
Step 3: Simplify the right side of the equation.
\(64x=800\)
Step 3: Simplify by dividing both sides of the equation by 64.
\(\frac{\mathrm{64x} }{\mathrm{64}} = \frac{\mathrm{800} }{\mathrm{64}}\)
\(x = 12.5\)
You can replace the phrase “out of” with a fraction line. So, 8 out of 64 →\(\frac{\mathrm{8} }{\mathrm{64}}\).
This line also means “divide”. Using your calculator, divide 8 by 64 to get 0.125. To turn any decimal into a percent, simply move the decimal two spaces to the right and add the percent sign.
0.125 → 12.5%
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