120.53 is what percent of 886.25 - 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 886.25 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 886.25, so we can write it down as 100%=886.25.
4. We know, that x% equals 120.53 of the output value, so we can write it down as x%=120.53.
5. Now we have two simple equations:
1) 100%=886.25
2) x%=120.53
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%=886.25/120.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 120.53 is what percent of 886.25

100%/x%=886.25/120.53
(100/x)*x=(886.25/120.53)*x       - we multiply both sides of the equation by x
100=7.3529411764706*x       - we divide both sides of the equation by (7.3529411764706) to get x
100/7.3529411764706=x
13.6=x
x=13.6

now we have:
120.53 is 13.6% of 886.25