62.57 is what percent of 1009.22 - 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 1009.22 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 1009.22, so we can write it down as 100%=1009.22.
4. We know, that x% equals 62.57 of the output value, so we can write it down as x%=62.57.
5. Now we have two simple equations:
1) 100%=1009.22
2) x%=62.57
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%=1009.22/62.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 62.57 is what percent of 1009.22

100%/x%=1009.22/62.57
(100/x)*x=(1009.22/62.57)*x       - we multiply both sides of the equation by x
100=16.129455010388*x       - we divide both sides of the equation by (16.129455010388) to get x
100/16.129455010388=x
6.199837498266=x
x=6.199837498266

now we have:
62.57 is 6.199837498266% of 1009.22