26 is what percent of 19.25 - 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 19.25 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 19.25, so we can write it down as 100%=19.25.
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%=19.25
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%=19.25/26
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 19.25

100%/x%=19.25/26
(100/x)*x=(19.25/26)*x       - we multiply both sides of the equation by x
100=0.74038461538462*x       - we divide both sides of the equation by (0.74038461538462) to get x
100/0.74038461538462=x
135.06493506494=x
x=135.06493506494

now we have:
26 is 135.06493506494% of 19.25