187.3 is what percent of 209.38 - 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 209.38 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 209.38, so we can write it down as 100%=209.38.
4. We know, that x% equals 187.3 of the output value, so we can write it down as x%=187.3.
5. Now we have two simple equations:
1) 100%=209.38
2) x%=187.3
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%=209.38/187.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 187.3 is what percent of 209.38

100%/x%=209.38/187.3
(100/x)*x=(209.38/187.3)*x       - we multiply both sides of the equation by x
100=1.1178857447944*x       - we divide both sides of the equation by (1.1178857447944) to get x
100/1.1178857447944=x
89.45458018913=x
x=89.45458018913

now we have:
187.3 is 89.45458018913% of 209.38