455.72 is what percent of 2307.72 - 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 2307.72 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 2307.72, so we can write it down as 100%=2307.72.
4. We know, that x% equals 455.72 of the output value, so we can write it down as x%=455.72.
5. Now we have two simple equations:
1) 100%=2307.72
2) x%=455.72
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%=2307.72/455.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 455.72 is what percent of 2307.72

100%/x%=2307.72/455.72
(100/x)*x=(2307.72/455.72)*x       - we multiply both sides of the equation by x
100=5.0638988852804*x       - we divide both sides of the equation by (5.0638988852804) to get x
100/5.0638988852804=x
19.74762969511=x
x=19.74762969511

now we have:
455.72 is 19.74762969511% of 2307.72