1325.2 is what percent of 26.5 - 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 26.5 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 26.5, so we can write it down as 100%=26.5.
4. We know, that x% equals 1325.2 of the output value, so we can write it down as x%=1325.2.
5. Now we have two simple equations:
1) 100%=26.5
2) x%=1325.2
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%=26.5/1325.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1325.2 is what percent of 26.5

100%/x%=26.5/1325.2
(100/x)*x=(26.5/1325.2)*x       - we multiply both sides of the equation by x
100=0.019996981587685*x       - we divide both sides of the equation by (0.019996981587685) to get x
100/0.019996981587685=x
5000.7547169811=x
x=5000.7547169811

now we have:
1325.2 is 5000.7547169811% of 26.5