26.2 is what percent of 32.5 - 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 32.5 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 32.5, so we can write it down as 100%=32.5.
4. We know, that x% equals 26.2 of the output value, so we can write it down as x%=26.2.
5. Now we have two simple equations:
1) 100%=32.5
2) x%=26.2
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%=32.5/26.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.2 is what percent of 32.5

100%/x%=32.5/26.2
(100/x)*x=(32.5/26.2)*x       - we multiply both sides of the equation by x
100=1.2404580152672*x       - we divide both sides of the equation by (1.2404580152672) to get x
100/1.2404580152672=x
80.615384615385=x
x=80.615384615385

now we have:
26.2 is 80.615384615385% of 32.5