7 is what percent of 186.11 - 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 186.11 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 186.11, so we can write it down as 100%=186.11.
4. We know, that x% equals 7 of the output value, so we can write it down as x%=7.
5. Now we have two simple equations:
1) 100%=186.11
2) x%=7
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%=186.11/7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7 is what percent of 186.11

100%/x%=186.11/7
(100/x)*x=(186.11/7)*x       - we multiply both sides of the equation by x
100=26.587142857143*x       - we divide both sides of the equation by (26.587142857143) to get x
100/26.587142857143=x
3.7612164848745=x
x=3.7612164848745

now we have:
7 is 3.7612164848745% of 186.11