941.52 is what percent of 588.45 - 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 588.45 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 588.45, so we can write it down as 100%=588.45.
4. We know, that x% equals 941.52 of the output value, so we can write it down as x%=941.52.
5. Now we have two simple equations:
1) 100%=588.45
2) x%=941.52
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%=588.45/941.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 941.52 is what percent of 588.45

100%/x%=588.45/941.52
(100/x)*x=(588.45/941.52)*x       - we multiply both sides of the equation by x
100=0.625*x       - we divide both sides of the equation by (0.625) to get x
100/0.625=x
160=x
x=160

now we have:
941.52 is 160% of 588.45