1338.8 is what percent of 13288 - 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 13288 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 13288, so we can write it down as 100%=13288.
4. We know, that x% equals 1338.8 of the output value, so we can write it down as x%=1338.8.
5. Now we have two simple equations:
1) 100%=13288
2) x%=1338.8
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%=13288/1338.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1338.8 is what percent of 13288

100%/x%=13288/1338.8
(100/x)*x=(13288/1338.8)*x       - we multiply both sides of the equation by x
100=9.925306244398*x       - we divide both sides of the equation by (9.925306244398) to get x
100/9.925306244398=x
10.075255869958=x
x=10.075255869958

now we have:
1338.8 is 10.075255869958% of 13288