2689.99 is what percent of 6001.75 - 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 6001.75 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 6001.75, so we can write it down as 100%=6001.75.
4. We know, that x% equals 2689.99 of the output value, so we can write it down as x%=2689.99.
5. Now we have two simple equations:
1) 100%=6001.75
2) x%=2689.99
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%=6001.75/2689.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2689.99 is what percent of 6001.75

100%/x%=6001.75/2689.99
(100/x)*x=(6001.75/2689.99)*x       - we multiply both sides of the equation by x
100=2.2311421232049*x       - we divide both sides of the equation by (2.2311421232049) to get x
100/2.2311421232049=x
44.820094139209=x
x=44.820094139209

now we have:
2689.99 is 44.820094139209% of 6001.75