134.16 is what percent of 314.32 - 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 314.32 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 314.32, so we can write it down as 100%=314.32.
4. We know, that x% equals 134.16 of the output value, so we can write it down as x%=134.16.
5. Now we have two simple equations:
1) 100%=314.32
2) x%=134.16
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%=314.32/134.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 134.16 is what percent of 314.32

100%/x%=314.32/134.16
(100/x)*x=(314.32/134.16)*x       - we multiply both sides of the equation by x
100=2.3428741800835*x       - we divide both sides of the equation by (2.3428741800835) to get x
100/2.3428741800835=x
42.682616441843=x
x=42.682616441843

now we have:
134.16 is 42.682616441843% of 314.32