52.34 is what percent of 116.54 - 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 116.54 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 116.54, so we can write it down as 100%=116.54.
4. We know, that x% equals 52.34 of the output value, so we can write it down as x%=52.34.
5. Now we have two simple equations:
1) 100%=116.54
2) x%=52.34
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%=116.54/52.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52.34 is what percent of 116.54

100%/x%=116.54/52.34
(100/x)*x=(116.54/52.34)*x       - we multiply both sides of the equation by x
100=2.2265953381735*x       - we divide both sides of the equation by (2.2265953381735) to get x
100/2.2265953381735=x
44.911618328471=x
x=44.911618328471

now we have:
52.34 is 44.911618328471% of 116.54