235.32 is what percent of 1120.25 - 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 1120.25 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 1120.25, so we can write it down as 100%=1120.25.
4. We know, that x% equals 235.32 of the output value, so we can write it down as x%=235.32.
5. Now we have two simple equations:
1) 100%=1120.25
2) x%=235.32
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%=1120.25/235.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 235.32 is what percent of 1120.25

100%/x%=1120.25/235.32
(100/x)*x=(1120.25/235.32)*x       - we multiply both sides of the equation by x
100=4.7605388407275*x       - we divide both sides of the equation by (4.7605388407275) to get x
100/4.7605388407275=x
21.00602544075=x
x=21.00602544075

now we have:
235.32 is 21.00602544075% of 1120.25