26 is what percent of 9899 - 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 9899 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 9899, so we can write it down as 100%=9899.
4. We know, that x% equals 26 of the output value, so we can write it down as x%=26.
5. Now we have two simple equations:
1) 100%=9899
2) x%=26
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%=9899/26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26 is what percent of 9899

100%/x%=9899/26
(100/x)*x=(9899/26)*x       - we multiply both sides of the equation by x
100=380.73076923077*x       - we divide both sides of the equation by (380.73076923077) to get x
100/380.73076923077=x
0.26265279321144=x
x=0.26265279321144

now we have:
26 is 0.26265279321144% of 9899