What is 70.8 percent of 13.7 - 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 13.7 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 13.7 is 100%, so we can write it down as 13.7=100%.
4. We know, that x is 70.8% of the output value, so we can write it down as x=70.8%.
5. Now we have two simple equations:
1) 13.7=100%
2) x=70.8%
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:
13.7/x=100%/70.8%
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 70.8% of 13.7

13.7/x=100/70.8
(13.7/x)*x=(100/70.8)*x       - we multiply both sides of the equation by x
13.7=1.4124293785311*x       - we divide both sides of the equation by (1.4124293785311) to get x
13.7/1.4124293785311=x
9.6996=x
x=9.6996

now we have:
70.8% of 13.7=9.6996