221.9 is what percent of 188.3 - 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 188.3 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 188.3, so we can write it down as 100%=188.3.
4. We know, that x% equals 221.9 of the output value, so we can write it down as x%=221.9.
5. Now we have two simple equations:
1) 100%=188.3
2) x%=221.9
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%=188.3/221.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 221.9 is what percent of 188.3

100%/x%=188.3/221.9
(100/x)*x=(188.3/221.9)*x       - we multiply both sides of the equation by x
100=0.84858044164038*x       - we divide both sides of the equation by (0.84858044164038) to get x
100/0.84858044164038=x
117.843866171=x
x=117.843866171

now we have:
221.9 is 117.843866171% of 188.3