119.88 is what percent of 900 - 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 900 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 900, so we can write it down as 100%=900.
4. We know, that x% equals 119.88 of the output value, so we can write it down as x%=119.88.
5. Now we have two simple equations:
1) 100%=900
2) x%=119.88
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%=900/119.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 119.88 is what percent of 900

100%/x%=900/119.88
(100/x)*x=(900/119.88)*x       - we multiply both sides of the equation by x
100=7.5075075075075*x       - we divide both sides of the equation by (7.5075075075075) to get x
100/7.5075075075075=x
13.32=x
x=13.32

now we have:
119.88 is 13.32% of 900