107.25 is what percent of 235.25 - 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 235.25 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 235.25, so we can write it down as 100%=235.25.
4. We know, that x% equals 107.25 of the output value, so we can write it down as x%=107.25.
5. Now we have two simple equations:
1) 100%=235.25
2) x%=107.25
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%=235.25/107.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 107.25 is what percent of 235.25

100%/x%=235.25/107.25
(100/x)*x=(235.25/107.25)*x       - we multiply both sides of the equation by x
100=2.1934731934732*x       - we divide both sides of the equation by (2.1934731934732) to get x
100/2.1934731934732=x
45.589798087141=x
x=45.589798087141

now we have:
107.25 is 45.589798087141% of 235.25