42 is what percent of 458.5 - 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 458.5 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 458.5, so we can write it down as 100%=458.5.
4. We know, that x% equals 42 of the output value, so we can write it down as x%=42.
5. Now we have two simple equations:
1) 100%=458.5
2) x%=42
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%=458.5/42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42 is what percent of 458.5

100%/x%=458.5/42
(100/x)*x=(458.5/42)*x       - we multiply both sides of the equation by x
100=10.916666666667*x       - we divide both sides of the equation by (10.916666666667) to get x
100/10.916666666667=x
9.1603053435115=x
x=9.1603053435115

now we have:
42 is 9.1603053435115% of 458.5