11.6 is what percent of 58.32 - 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 58.32 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 58.32, so we can write it down as 100%=58.32.
4. We know, that x% equals 11.6 of the output value, so we can write it down as x%=11.6.
5. Now we have two simple equations:
1) 100%=58.32
2) x%=11.6
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%=58.32/11.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.6 is what percent of 58.32

100%/x%=58.32/11.6
(100/x)*x=(58.32/11.6)*x       - we multiply both sides of the equation by x
100=5.0275862068966*x       - we divide both sides of the equation by (5.0275862068966) to get x
100/5.0275862068966=x
19.890260631001=x
x=19.890260631001

now we have:
11.6 is 19.890260631001% of 58.32