87.43 is what percent of 64.48 - 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 64.48 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 64.48, so we can write it down as 100%=64.48.
4. We know, that x% equals 87.43 of the output value, so we can write it down as x%=87.43.
5. Now we have two simple equations:
1) 100%=64.48
2) x%=87.43
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%=64.48/87.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 87.43 is what percent of 64.48

100%/x%=64.48/87.43
(100/x)*x=(64.48/87.43)*x       - we multiply both sides of the equation by x
100=0.7375042891456*x       - we divide both sides of the equation by (0.7375042891456) to get x
100/0.7375042891456=x
135.59243176179=x
x=135.59243176179

now we have:
87.43 is 135.59243176179% of 64.48