7.25 is what percent of 11.05 - 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 11.05 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 11.05, so we can write it down as 100%=11.05.
4. We know, that x% equals 7.25 of the output value, so we can write it down as x%=7.25.
5. Now we have two simple equations:
1) 100%=11.05
2) x%=7.25
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%=11.05/7.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.25 is what percent of 11.05

100%/x%=11.05/7.25
(100/x)*x=(11.05/7.25)*x       - we multiply both sides of the equation by x
100=1.5241379310345*x       - we divide both sides of the equation by (1.5241379310345) to get x
100/1.5241379310345=x
65.610859728507=x
x=65.610859728507

now we have:
7.25 is 65.610859728507% of 11.05