SOLUTION: Twelve is what percent of eighty six? Translate into a linear equation and solve.

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Question 796096: Twelve is what percent of eighty six?
Translate into a linear equation and solve.
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
To calculate a certain percentage of an amount, you multiply that amount times the percentage expressed as a decimal.
For example, 8% means 8 per 100, which is 8%2F100 as a fraction and 0.08 as a decimal.
So, to calculate 8% of 275, you calculate
275%2A0.08=22

x= percent (expressed as a decimal) that we are looking for
86x= that percentage of 86
highlight%2886x=12%29 is the linear equation you need

Solving:
86x=12
x=12%2F86
x=0.14=14%2F100 (rounded)
So 12 is about highlight%28%2214%25%22%29 of 86.

If we wanted to be more accurate, we could approximate 12%2F86 as 0.13953 or 0.1395.
Then we would say the answer is highlight%28%2213.953%25%22%29 or highlight%28%2213.95%25%22%29.
The fraction 12%2F86=6%2F43 is a never-ending repeating decimal. It cannot be accurately expressed as a decimal of any length, so we have to approximate by rounding to a fixed number of decimal places.