2600.17 is what percent of 23458.67 - 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 23458.67 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 23458.67, so we can write it down as 100%=23458.67.
4. We know, that x% equals 2600.17 of the output value, so we can write it down as x%=2600.17.
5. Now we have two simple equations:
1) 100%=23458.67
2) x%=2600.17
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%=23458.67/2600.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2600.17 is what percent of 23458.67

100%/x%=23458.67/2600.17
(100/x)*x=(23458.67/2600.17)*x       - we multiply both sides of the equation by x
100=9.0219754862182*x       - we divide both sides of the equation by (9.0219754862182) to get x
100/9.0219754862182=x
11.084046964299=x
x=11.084046964299

now we have:
2600.17 is 11.084046964299% of 23458.67