11.2 is what percent of 24.7 - 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 24.7 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 24.7, so we can write it down as 100%=24.7.
4. We know, that x% equals 11.2 of the output value, so we can write it down as x%=11.2.
5. Now we have two simple equations:
1) 100%=24.7
2) x%=11.2
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%=24.7/11.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.2 is what percent of 24.7

100%/x%=24.7/11.2
(100/x)*x=(24.7/11.2)*x       - we multiply both sides of the equation by x
100=2.2053571428571*x       - we divide both sides of the equation by (2.2053571428571) to get x
100/2.2053571428571=x
45.344129554656=x
x=45.344129554656

now we have:
11.2 is 45.344129554656% of 24.7