188.36 is what percent of 283.2 - 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 283.2 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 283.2, so we can write it down as 100%=283.2.
4. We know, that x% equals 188.36 of the output value, so we can write it down as x%=188.36.
5. Now we have two simple equations:
1) 100%=283.2
2) x%=188.36
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%=283.2/188.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 188.36 is what percent of 283.2

100%/x%=283.2/188.36
(100/x)*x=(283.2/188.36)*x       - we multiply both sides of the equation by x
100=1.5035039286473*x       - we divide both sides of the equation by (1.5035039286473) to get x
100/1.5035039286473=x
66.511299435028=x
x=66.511299435028

now we have:
188.36 is 66.511299435028% of 283.2