What is 116.7 percent of 13 - 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 13 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 13 is 100%, so we can write it down as 13=100%.
4. We know, that x is 116.7% of the output value, so we can write it down as x=116.7%.
5. Now we have two simple equations:
1) 13=100%
2) x=116.7%
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:
13/x=100%/116.7%
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 116.7% of 13

13/x=100/116.7
(13/x)*x=(100/116.7)*x       - we multiply both sides of the equation by x
13=0.85689802913453*x       - we divide both sides of the equation by (0.85689802913453) to get x
13/0.85689802913453=x
15.171=x
x=15.171

now we have:
116.7% of 13=15.171