437.88 is what percent of 3560 - 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 3560 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 3560, so we can write it down as 100%=3560.
4. We know, that x% equals 437.88 of the output value, so we can write it down as x%=437.88.
5. Now we have two simple equations:
1) 100%=3560
2) x%=437.88
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%=3560/437.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 437.88 is what percent of 3560

100%/x%=3560/437.88
(100/x)*x=(3560/437.88)*x       - we multiply both sides of the equation by x
100=8.130081300813*x       - we divide both sides of the equation by (8.130081300813) to get x
100/8.130081300813=x
12.3=x
x=12.3

now we have:
437.88 is 12.3% of 3560