101.46 is what percent of 505.92 - 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 505.92 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 505.92, so we can write it down as 100%=505.92.
4. We know, that x% equals 101.46 of the output value, so we can write it down as x%=101.46.
5. Now we have two simple equations:
1) 100%=505.92
2) x%=101.46
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%=505.92/101.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 101.46 is what percent of 505.92

100%/x%=505.92/101.46
(100/x)*x=(505.92/101.46)*x       - we multiply both sides of the equation by x
100=4.9863985807215*x       - we divide both sides of the equation by (4.9863985807215) to get x
100/4.9863985807215=x
20.054554079696=x
x=20.054554079696

now we have:
101.46 is 20.054554079696% of 505.92