96 is what percent of 13.274 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 13.274 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 13.274, so we can write it down as 100%=13.274.
4. We know, that x% equals 96 of the output value, so we can write it down as x%=96.
5. Now we have two simple equations:
1) 100%=13.274
2) x%=96
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=13.274/96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 96 is what percent of 13.274

100%/x%=13.274/96
(100/x)*x=(13.274/96)*x       - we multiply both sides of the equation by x
100=0.13827083333333*x       - we divide both sides of the equation by (0.13827083333333) to get x
100/0.13827083333333=x
723.21832153081=x
x=723.21832153081

now we have:
96 is 723.21832153081% of 13.274