13.53 is what percent of 995.08 - 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 995.08 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 995.08, so we can write it down as 100%=995.08.
4. We know, that x% equals 13.53 of the output value, so we can write it down as x%=13.53.
5. Now we have two simple equations:
1) 100%=995.08
2) x%=13.53
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%=995.08/13.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.53 is what percent of 995.08

100%/x%=995.08/13.53
(100/x)*x=(995.08/13.53)*x       - we multiply both sides of the equation by x
100=73.546193643755*x       - we divide both sides of the equation by (73.546193643755) to get x
100/73.546193643755=x
1.3596896731921=x
x=1.3596896731921

now we have:
13.53 is 1.3596896731921% of 995.08