13.62 is what percent of 1000.75 - 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 1000.75 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 1000.75, so we can write it down as 100%=1000.75.
4. We know, that x% equals 13.62 of the output value, so we can write it down as x%=13.62.
5. Now we have two simple equations:
1) 100%=1000.75
2) x%=13.62
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%=1000.75/13.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.62 is what percent of 1000.75

100%/x%=1000.75/13.62
(100/x)*x=(1000.75/13.62)*x       - we multiply both sides of the equation by x
100=73.476505139501*x       - we divide both sides of the equation by (73.476505139501) to get x
100/73.476505139501=x
1.3609792655508=x
x=1.3609792655508

now we have:
13.62 is 1.3609792655508% of 1000.75