62.62 is what percent of 1565.34 - 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 1565.34 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 1565.34, so we can write it down as 100%=1565.34.
4. We know, that x% equals 62.62 of the output value, so we can write it down as x%=62.62.
5. Now we have two simple equations:
1) 100%=1565.34
2) x%=62.62
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%=1565.34/62.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 62.62 is what percent of 1565.34

100%/x%=1565.34/62.62
(100/x)*x=(1565.34/62.62)*x       - we multiply both sides of the equation by x
100=24.997444905781*x       - we divide both sides of the equation by (24.997444905781) to get x
100/24.997444905781=x
4.0004088568618=x
x=4.0004088568618

now we have:
62.62 is 4.0004088568618% of 1565.34