26 is what percent of 10562 - 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 10562 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 10562, so we can write it down as 100%=10562.
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%=10562
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%=10562/26
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 10562

100%/x%=10562/26
(100/x)*x=(10562/26)*x       - we multiply both sides of the equation by x
100=406.23076923077*x       - we divide both sides of the equation by (406.23076923077) to get x
100/406.23076923077=x
0.24616549895853=x
x=0.24616549895853

now we have:
26 is 0.24616549895853% of 10562