What is 13.11 percent of 260.7 - 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 260.7 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 260.7 is 100%, so we can write it down as 260.7=100%.
4. We know, that x is 13.11% of the output value, so we can write it down as x=13.11%.
5. Now we have two simple equations:
1) 260.7=100%
2) x=13.11%
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:
260.7/x=100%/13.11%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 13.11% of 260.7

260.7/x=100/13.11
(260.7/x)*x=(100/13.11)*x       - we multiply both sides of the equation by x
260.7=7.627765064836*x       - we divide both sides of the equation by (7.627765064836) to get x
260.7/7.627765064836=x
34.17777=x
x=34.17777

now we have:
13.11% of 260.7=34.17777