115.62 is what percent of 215.41 - 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 215.41 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 215.41, so we can write it down as 100%=215.41.
4. We know, that x% equals 115.62 of the output value, so we can write it down as x%=115.62.
5. Now we have two simple equations:
1) 100%=215.41
2) x%=115.62
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%=215.41/115.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 115.62 is what percent of 215.41

100%/x%=215.41/115.62
(100/x)*x=(215.41/115.62)*x       - we multiply both sides of the equation by x
100=1.8630859712852*x       - we divide both sides of the equation by (1.8630859712852) to get x
100/1.8630859712852=x
53.674388375656=x
x=53.674388375656

now we have:
115.62 is 53.674388375656% of 215.41