13.5 is what percent of 1258.88 - 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 1258.88 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 1258.88, so we can write it down as 100%=1258.88.
4. We know, that x% equals 13.5 of the output value, so we can write it down as x%=13.5.
5. Now we have two simple equations:
1) 100%=1258.88
2) x%=13.5
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%=1258.88/13.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.5 is what percent of 1258.88

100%/x%=1258.88/13.5
(100/x)*x=(1258.88/13.5)*x       - we multiply both sides of the equation by x
100=93.25037037037*x       - we divide both sides of the equation by (93.25037037037) to get x
100/93.25037037037=x
1.072381799695=x
x=1.072381799695

now we have:
13.5 is 1.072381799695% of 1258.88