42667.11 is what percent of 561458.97 - 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 561458.97 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 561458.97, so we can write it down as 100%=561458.97.
4. We know, that x% equals 42667.11 of the output value, so we can write it down as x%=42667.11.
5. Now we have two simple equations:
1) 100%=561458.97
2) x%=42667.11
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%=561458.97/42667.11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42667.11 is what percent of 561458.97

100%/x%=561458.97/42667.11
(100/x)*x=(561458.97/42667.11)*x       - we multiply both sides of the equation by x
100=13.159057878539*x       - we divide both sides of the equation by (13.159057878539) to get x
100/13.159057878539=x
7.5993282287395=x
x=7.5993282287395

now we have:
42667.11 is 7.5993282287395% of 561458.97