87.48 is what percent of 100.44 - 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 100.44 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 100.44, so we can write it down as 100%=100.44.
4. We know, that x% equals 87.48 of the output value, so we can write it down as x%=87.48.
5. Now we have two simple equations:
1) 100%=100.44
2) x%=87.48
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%=100.44/87.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 87.48 is what percent of 100.44

100%/x%=100.44/87.48
(100/x)*x=(100.44/87.48)*x       - we multiply both sides of the equation by x
100=1.1481481481481*x       - we divide both sides of the equation by (1.1481481481481) to get x
100/1.1481481481481=x
87.096774193548=x
x=87.096774193548

now we have:
87.48 is 87.096774193548% of 100.44