How do you find the base if $11 \frac{1}{2} %$ $11 1/2%$ of the base is $46$ $46$ ?

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Answer 1 · 2017-06-06T15:03:00

The base is $400$ $400$

Calculations with percent can always be done by direct proportion.

Write equivalent fractions comparing the values with the matching percent. (The full amount is always $100 %$ $100%$

In this question:

$11.5 %$ $11.5%$ represents $46 %$ $46%$ and we want to know the value for $100 %$ $100%$

$\frac{11.5}{46} = \frac{100}{x} \frac{\leftarrow percent}{\leftarrow value}$ $11.5/46 = 100/x" "(larr"percent")/(larr"value")$

$x = \frac{46 \times 100}{11.5} \leftarrow$ $x = (46 xx 100)/11.5" "larr$ cross-multiply to get $x$ $x$

$x = 400$ $x = 400$

Check: $11 \frac{1}{2} % \times 400 = 46$ $11 1/2% xx 400 = 46$

How do you find the base if 11 1/2%1112%11 1/2% of the base is 464646?