89.56 is what percent of 1390.02 - 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 1390.02 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 1390.02, so we can write it down as 100%=1390.02.
4. We know, that x% equals 89.56 of the output value, so we can write it down as x%=89.56.
5. Now we have two simple equations:
1) 100%=1390.02
2) x%=89.56
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%=1390.02/89.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 89.56 is what percent of 1390.02

100%/x%=1390.02/89.56
(100/x)*x=(1390.02/89.56)*x       - we multiply both sides of the equation by x
100=15.52054488611*x       - we divide both sides of the equation by (15.52054488611) to get x
100/15.52054488611=x
6.443072761543=x
x=6.443072761543

now we have:
89.56 is 6.443072761543% of 1390.02