42.63 is what percent of 415.95 - 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 415.95 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 415.95, so we can write it down as 100%=415.95.
4. We know, that x% equals 42.63 of the output value, so we can write it down as x%=42.63.
5. Now we have two simple equations:
1) 100%=415.95
2) x%=42.63
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%=415.95/42.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.63 is what percent of 415.95

100%/x%=415.95/42.63
(100/x)*x=(415.95/42.63)*x       - we multiply both sides of the equation by x
100=9.7572132301196*x       - we divide both sides of the equation by (9.7572132301196) to get x
100/9.7572132301196=x
10.248827984133=x
x=10.248827984133

now we have:
42.63 is 10.248827984133% of 415.95