11 is what percent of 112.5 - 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 112.5 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 112.5, so we can write it down as 100%=112.5.
4. We know, that x% equals 11 of the output value, so we can write it down as x%=11.
5. Now we have two simple equations:
1) 100%=112.5
2) x%=11
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%=112.5/11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11 is what percent of 112.5

100%/x%=112.5/11
(100/x)*x=(112.5/11)*x       - we multiply both sides of the equation by x
100=10.227272727273*x       - we divide both sides of the equation by (10.227272727273) to get x
100/10.227272727273=x
9.7777777777778=x
x=9.7777777777778

now we have:
11 is 9.7777777777778% of 112.5