496.37 is what percent of 1907.5 - 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 1907.5 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 1907.5, so we can write it down as 100%=1907.5.
4. We know, that x% equals 496.37 of the output value, so we can write it down as x%=496.37.
5. Now we have two simple equations:
1) 100%=1907.5
2) x%=496.37
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%=1907.5/496.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 496.37 is what percent of 1907.5

100%/x%=1907.5/496.37
(100/x)*x=(1907.5/496.37)*x       - we multiply both sides of the equation by x
100=3.8428994500071*x       - we divide both sides of the equation by (3.8428994500071) to get x
100/3.8428994500071=x
26.022018348624=x
x=26.022018348624

now we have:
496.37 is 26.022018348624% of 1907.5