125.05 is what percent of 1624.41 - 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 1624.41 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 1624.41, so we can write it down as 100%=1624.41.
4. We know, that x% equals 125.05 of the output value, so we can write it down as x%=125.05.
5. Now we have two simple equations:
1) 100%=1624.41
2) x%=125.05
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%=1624.41/125.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 125.05 is what percent of 1624.41

100%/x%=1624.41/125.05
(100/x)*x=(1624.41/125.05)*x       - we multiply both sides of the equation by x
100=12.990083966413*x       - we divide both sides of the equation by (12.990083966413) to get x
100/12.990083966413=x
7.6981796467641=x
x=7.6981796467641

now we have:
125.05 is 7.6981796467641% of 1624.41