5842.68 is what percent of 85088.48 - 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 85088.48 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 85088.48, so we can write it down as 100%=85088.48.
4. We know, that x% equals 5842.68 of the output value, so we can write it down as x%=5842.68.
5. Now we have two simple equations:
1) 100%=85088.48
2) x%=5842.68
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%=85088.48/5842.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5842.68 is what percent of 85088.48

100%/x%=85088.48/5842.68
(100/x)*x=(85088.48/5842.68)*x       - we multiply both sides of the equation by x
100=14.563262064669*x       - we divide both sides of the equation by (14.563262064669) to get x
100/14.563262064669=x
6.8665934565995=x
x=6.8665934565995

now we have:
5842.68 is 6.8665934565995% of 85088.48