189.37 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 189.37 of the output value, so we can write it down as x%=189.37.
5. Now we have two simple equations:
1) 100%=283.2
2) x%=189.37
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%=283.2/189.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 189.37 is what percent of 283.2

100%/x%=283.2/189.37
(100/x)*x=(283.2/189.37)*x       - we multiply both sides of the equation by x
100=1.4954850293077*x       - we divide both sides of the equation by (1.4954850293077) to get x
100/1.4954850293077=x
66.867937853107=x
x=66.867937853107

now we have:
189.37 is 66.867937853107% of 283.2