53.17 is what percent of 1166.25 - 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 1166.25 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 1166.25, so we can write it down as 100%=1166.25.
4. We know, that x% equals 53.17 of the output value, so we can write it down as x%=53.17.
5. Now we have two simple equations:
1) 100%=1166.25
2) x%=53.17
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%=1166.25/53.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53.17 is what percent of 1166.25

100%/x%=1166.25/53.17
(100/x)*x=(1166.25/53.17)*x       - we multiply both sides of the equation by x
100=21.934361482039*x       - we divide both sides of the equation by (21.934361482039) to get x
100/21.934361482039=x
4.5590568060021=x
x=4.5590568060021

now we have:
53.17 is 4.5590568060021% of 1166.25