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

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Answer 1 · 2017-06-06T15:03:00

The base is $400$

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 $100%$

In this question:

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

$11.5/46 = 100/x" "(larr"percent")/(larr"value")$

$x = (46 xx 100)/11.5" "larr$ cross-multiply to get $x$

$x = 400$

Check: $11 1/2% xx 400 = 46$

How do you find the base if 11 1/2%11 1/2% of the base is 4646?