275.36 is what percent of 439 - 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 439 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 439, so we can write it down as 100%=439.
4. We know, that x% equals 275.36 of the output value, so we can write it down as x%=275.36.
5. Now we have two simple equations:
1) 100%=439
2) x%=275.36
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%=439/275.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 275.36 is what percent of 439

100%/x%=439/275.36
(100/x)*x=(439/275.36)*x       - we multiply both sides of the equation by x
100=1.5942765833818*x       - we divide both sides of the equation by (1.5942765833818) to get x
100/1.5942765833818=x
62.72437357631=x
x=62.72437357631

now we have:
275.36 is 62.72437357631% of 439