13.47 is what percent of 91.63 - 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 91.63 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 91.63, so we can write it down as 100%=91.63.
4. We know, that x% equals 13.47 of the output value, so we can write it down as x%=13.47.
5. Now we have two simple equations:
1) 100%=91.63
2) x%=13.47
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%=91.63/13.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.47 is what percent of 91.63

100%/x%=91.63/13.47
(100/x)*x=(91.63/13.47)*x       - we multiply both sides of the equation by x
100=6.8025241276912*x       - we divide both sides of the equation by (6.8025241276912) to get x
100/6.8025241276912=x
14.700425624795=x
x=14.700425624795

now we have:
13.47 is 14.700425624795% of 91.63