26 is what percent of 257.5 - 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 257.5 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 257.5, so we can write it down as 100%=257.5.
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%=257.5
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%=257.5/26
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 257.5

100%/x%=257.5/26
(100/x)*x=(257.5/26)*x       - we multiply both sides of the equation by x
100=9.9038461538462*x       - we divide both sides of the equation by (9.9038461538462) to get x
100/9.9038461538462=x
10.097087378641=x
x=10.097087378641

now we have:
26 is 10.097087378641% of 257.5