28.09 is what percent of 116.17 - 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 116.17 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 116.17, so we can write it down as 100%=116.17.
4. We know, that x% equals 28.09 of the output value, so we can write it down as x%=28.09.
5. Now we have two simple equations:
1) 100%=116.17
2) x%=28.09
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%=116.17/28.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.09 is what percent of 116.17

100%/x%=116.17/28.09
(100/x)*x=(116.17/28.09)*x       - we multiply both sides of the equation by x
100=4.1356354574582*x       - we divide both sides of the equation by (4.1356354574582) to get x
100/4.1356354574582=x
24.180080915899=x
x=24.180080915899

now we have:
28.09 is 24.180080915899% of 116.17