43.09 is what percent of 615.6 - 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 615.6 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 615.6, so we can write it down as 100%=615.6.
4. We know, that x% equals 43.09 of the output value, so we can write it down as x%=43.09.
5. Now we have two simple equations:
1) 100%=615.6
2) x%=43.09
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%=615.6/43.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 43.09 is what percent of 615.6

100%/x%=615.6/43.09
(100/x)*x=(615.6/43.09)*x       - we multiply both sides of the equation by x
100=14.286377349733*x       - we divide both sides of the equation by (14.286377349733) to get x
100/14.286377349733=x
6.9996751137102=x
x=6.9996751137102

now we have:
43.09 is 6.9996751137102% of 615.6