11.25 is what percent of 45.25 - 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 45.25 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 45.25, so we can write it down as 100%=45.25.
4. We know, that x% equals 11.25 of the output value, so we can write it down as x%=11.25.
5. Now we have two simple equations:
1) 100%=45.25
2) x%=11.25
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%=45.25/11.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.25 is what percent of 45.25

100%/x%=45.25/11.25
(100/x)*x=(45.25/11.25)*x       - we multiply both sides of the equation by x
100=4.0222222222222*x       - we divide both sides of the equation by (4.0222222222222) to get x
100/4.0222222222222=x
24.861878453039=x
x=24.861878453039

now we have:
11.25 is 24.861878453039% of 45.25