42.46 is what percent of 565 - 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 565 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 565, so we can write it down as 100%=565.
4. We know, that x% equals 42.46 of the output value, so we can write it down as x%=42.46.
5. Now we have two simple equations:
1) 100%=565
2) x%=42.46
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%=565/42.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.46 is what percent of 565

100%/x%=565/42.46
(100/x)*x=(565/42.46)*x       - we multiply both sides of the equation by x
100=13.306641544984*x       - we divide both sides of the equation by (13.306641544984) to get x
100/13.306641544984=x
7.5150442477876=x
x=7.5150442477876

now we have:
42.46 is 7.5150442477876% of 565