426.39 is what percent of 2713.54 - 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 2713.54 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 2713.54, so we can write it down as 100%=2713.54.
4. We know, that x% equals 426.39 of the output value, so we can write it down as x%=426.39.
5. Now we have two simple equations:
1) 100%=2713.54
2) x%=426.39
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%=2713.54/426.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 426.39 is what percent of 2713.54

100%/x%=2713.54/426.39
(100/x)*x=(2713.54/426.39)*x       - we multiply both sides of the equation by x
100=6.3639860221863*x       - we divide both sides of the equation by (6.3639860221863) to get x
100/6.3639860221863=x
15.713422319185=x
x=15.713422319185

now we have:
426.39 is 15.713422319185% of 2713.54