42.52 is what percent of 685.8 - 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 685.8 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 685.8, so we can write it down as 100%=685.8.
4. We know, that x% equals 42.52 of the output value, so we can write it down as x%=42.52.
5. Now we have two simple equations:
1) 100%=685.8
2) x%=42.52
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%=685.8/42.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.52 is what percent of 685.8

100%/x%=685.8/42.52
(100/x)*x=(685.8/42.52)*x       - we multiply both sides of the equation by x
100=16.128880526811*x       - we divide both sides of the equation by (16.128880526811) to get x
100/16.128880526811=x
6.2000583260426=x
x=6.2000583260426

now we have:
42.52 is 6.2000583260426% of 685.8