What is 13.3 percent of 78.2 - 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 78.2 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 78.2 is 100%, so we can write it down as 78.2=100%.
4. We know, that x is 13.3% of the output value, so we can write it down as x=13.3%.
5. Now we have two simple equations:
1) 78.2=100%
2) x=13.3%
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:
78.2/x=100%/13.3%
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 13.3% of 78.2

78.2/x=100/13.3
(78.2/x)*x=(100/13.3)*x       - we multiply both sides of the equation by x
78.2=7.5187969924812*x       - we divide both sides of the equation by (7.5187969924812) to get x
78.2/7.5187969924812=x
10.4006=x
x=10.4006

now we have:
13.3% of 78.2=10.4006