12.59 is what percent of 477.75 - 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 477.75 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 477.75, so we can write it down as 100%=477.75.
4. We know, that x% equals 12.59 of the output value, so we can write it down as x%=12.59.
5. Now we have two simple equations:
1) 100%=477.75
2) x%=12.59
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%=477.75/12.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.59 is what percent of 477.75

100%/x%=477.75/12.59
(100/x)*x=(477.75/12.59)*x       - we multiply both sides of the equation by x
100=37.946783161239*x       - we divide both sides of the equation by (37.946783161239) to get x
100/37.946783161239=x
2.6352694924123=x
x=2.6352694924123

now we have:
12.59 is 2.6352694924123% of 477.75