188.3 is what percent of 166.7 - 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 166.7 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 166.7, so we can write it down as 100%=166.7.
4. We know, that x% equals 188.3 of the output value, so we can write it down as x%=188.3.
5. Now we have two simple equations:
1) 100%=166.7
2) x%=188.3
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%=166.7/188.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 188.3 is what percent of 166.7

100%/x%=166.7/188.3
(100/x)*x=(166.7/188.3)*x       - we multiply both sides of the equation by x
100=0.88528943175783*x       - we divide both sides of the equation by (0.88528943175783) to get x
100/0.88528943175783=x
112.9574085183=x
x=112.9574085183

now we have:
188.3 is 112.9574085183% of 166.7