415.25 is what percent of 883.5 - 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 883.5 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 883.5, so we can write it down as 100%=883.5.
4. We know, that x% equals 415.25 of the output value, so we can write it down as x%=415.25.
5. Now we have two simple equations:
1) 100%=883.5
2) x%=415.25
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%=883.5/415.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 415.25 is what percent of 883.5

100%/x%=883.5/415.25
(100/x)*x=(883.5/415.25)*x       - we multiply both sides of the equation by x
100=2.1276339554485*x       - we divide both sides of the equation by (2.1276339554485) to get x
100/2.1276339554485=x
47.000565930956=x
x=47.000565930956

now we have:
415.25 is 47.000565930956% of 883.5