860.55 is what percent of 940 - 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 940 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 940, so we can write it down as 100%=940.
4. We know, that x% equals 860.55 of the output value, so we can write it down as x%=860.55.
5. Now we have two simple equations:
1) 100%=940
2) x%=860.55
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%=940/860.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 860.55 is what percent of 940

100%/x%=940/860.55
(100/x)*x=(940/860.55)*x       - we multiply both sides of the equation by x
100=1.0923246760793*x       - we divide both sides of the equation by (1.0923246760793) to get x
100/1.0923246760793=x
91.547872340426=x
x=91.547872340426

now we have:
860.55 is 91.547872340426% of 940