188.22 is what percent of 1615.38 - 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 1615.38 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 1615.38, so we can write it down as 100%=1615.38.
4. We know, that x% equals 188.22 of the output value, so we can write it down as x%=188.22.
5. Now we have two simple equations:
1) 100%=1615.38
2) x%=188.22
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%=1615.38/188.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 188.22 is what percent of 1615.38

100%/x%=1615.38/188.22
(100/x)*x=(1615.38/188.22)*x       - we multiply both sides of the equation by x
100=8.5824035702901*x       - we divide both sides of the equation by (8.5824035702901) to get x
100/8.5824035702901=x
11.651747576422=x
x=11.651747576422

now we have:
188.22 is 11.651747576422% of 1615.38