13.01 is what percent of 825.24 - 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 825.24 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 825.24, so we can write it down as 100%=825.24.
4. We know, that x% equals 13.01 of the output value, so we can write it down as x%=13.01.
5. Now we have two simple equations:
1) 100%=825.24
2) x%=13.01
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%=825.24/13.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.01 is what percent of 825.24

100%/x%=825.24/13.01
(100/x)*x=(825.24/13.01)*x       - we multiply both sides of the equation by x
100=63.431206764028*x       - we divide both sides of the equation by (63.431206764028) to get x
100/63.431206764028=x
1.5765110755659=x
x=1.5765110755659

now we have:
13.01 is 1.5765110755659% of 825.24