3087.5 is what percent of 12127.5 - 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 12127.5 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 12127.5, so we can write it down as 100%=12127.5.
4. We know, that x% equals 3087.5 of the output value, so we can write it down as x%=3087.5.
5. Now we have two simple equations:
1) 100%=12127.5
2) x%=3087.5
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%=12127.5/3087.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3087.5 is what percent of 12127.5

100%/x%=12127.5/3087.5
(100/x)*x=(12127.5/3087.5)*x       - we multiply both sides of the equation by x
100=3.9279352226721*x       - we divide both sides of the equation by (3.9279352226721) to get x
100/3.9279352226721=x
25.458668315811=x
x=25.458668315811

now we have:
3087.5 is 25.458668315811% of 12127.5