11.25 is what percent of 29480.54 - 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 29480.54 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 29480.54, so we can write it down as 100%=29480.54.
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%=29480.54
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%=29480.54/11.25
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 29480.54

100%/x%=29480.54/11.25
(100/x)*x=(29480.54/11.25)*x       - we multiply both sides of the equation by x
100=2620.4924444444*x       - we divide both sides of the equation by (2620.4924444444) to get x
100/2620.4924444444=x
0.038160766390304=x
x=0.038160766390304

now we have:
11.25 is 0.038160766390304% of 29480.54