What is 13.49 percent of 1106.49 - 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 1106.49 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 1106.49 is 100%, so we can write it down as 1106.49=100%.
4. We know, that x is 13.49% of the output value, so we can write it down as x=13.49%.
5. Now we have two simple equations:
1) 1106.49=100%
2) x=13.49%
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:
1106.49/x=100%/13.49%
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 13.49% of 1106.49

1106.49/x=100/13.49
(1106.49/x)*x=(100/13.49)*x       - we multiply both sides of the equation by x
1106.49=7.4128984432913*x       - we divide both sides of the equation by (7.4128984432913) to get x
1106.49/7.4128984432913=x
149.265501=x
x=149.265501

now we have:
13.49% of 1106.49=149.265501