13 is what percent of 10.99 - 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 10.99 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 10.99, so we can write it down as 100%=10.99.
4. We know, that x% equals 13 of the output value, so we can write it down as x%=13.
5. Now we have two simple equations:
1) 100%=10.99
2) x%=13
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%=10.99/13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13 is what percent of 10.99

100%/x%=10.99/13
(100/x)*x=(10.99/13)*x       - we multiply both sides of the equation by x
100=0.84538461538462*x       - we divide both sides of the equation by (0.84538461538462) to get x
100/0.84538461538462=x
118.28935395814=x
x=118.28935395814

now we have:
13 is 118.28935395814% of 10.99