11.02 is what percent of 45.52 - 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 45.52 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 45.52, so we can write it down as 100%=45.52.
4. We know, that x% equals 11.02 of the output value, so we can write it down as x%=11.02.
5. Now we have two simple equations:
1) 100%=45.52
2) x%=11.02
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%=45.52/11.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.02 is what percent of 45.52

100%/x%=45.52/11.02
(100/x)*x=(45.52/11.02)*x       - we multiply both sides of the equation by x
100=4.1306715063521*x       - we divide both sides of the equation by (4.1306715063521) to get x
100/4.1306715063521=x
24.20913884007=x
x=24.20913884007

now we have:
11.02 is 24.20913884007% of 45.52