10 is what percent of 125.09 - 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 125.09 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 125.09, so we can write it down as 100%=125.09.
4. We know, that x% equals 10 of the output value, so we can write it down as x%=10.
5. Now we have two simple equations:
1) 100%=125.09
2) x%=10
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%=125.09/10
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10 is what percent of 125.09

100%/x%=125.09/10
(100/x)*x=(125.09/10)*x       - we multiply both sides of the equation by x
100=12.509*x       - we divide both sides of the equation by (12.509) to get x
100/12.509=x
7.9942441442162=x
x=7.9942441442162

now we have:
10 is 7.9942441442162% of 125.09