189.81 is what percent of 503.45 - 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 503.45 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 503.45, so we can write it down as 100%=503.45.
4. We know, that x% equals 189.81 of the output value, so we can write it down as x%=189.81.
5. Now we have two simple equations:
1) 100%=503.45
2) x%=189.81
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%=503.45/189.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 189.81 is what percent of 503.45

100%/x%=503.45/189.81
(100/x)*x=(503.45/189.81)*x       - we multiply both sides of the equation by x
100=2.6523892313366*x       - we divide both sides of the equation by (2.6523892313366) to get x
100/2.6523892313366=x
37.701857185421=x
x=37.701857185421

now we have:
189.81 is 37.701857185421% of 503.45