26 is what percent of 11870 - 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 11870 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 11870, so we can write it down as 100%=11870.
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%=11870
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%=11870/26
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 11870

100%/x%=11870/26
(100/x)*x=(11870/26)*x       - we multiply both sides of the equation by x
100=456.53846153846*x       - we divide both sides of the equation by (456.53846153846) to get x
100/456.53846153846=x
0.21903959561921=x
x=0.21903959561921

now we have:
26 is 0.21903959561921% of 11870