11.24 is what percent of 76.32 - 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 76.32 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 76.32, so we can write it down as 100%=76.32.
4. We know, that x% equals 11.24 of the output value, so we can write it down as x%=11.24.
5. Now we have two simple equations:
1) 100%=76.32
2) x%=11.24
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%=76.32/11.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.24 is what percent of 76.32

100%/x%=76.32/11.24
(100/x)*x=(76.32/11.24)*x       - we multiply both sides of the equation by x
100=6.7900355871886*x       - we divide both sides of the equation by (6.7900355871886) to get x
100/6.7900355871886=x
14.727463312369=x
x=14.727463312369

now we have:
11.24 is 14.727463312369% of 76.32