What is 11.67 percent of 83.31 - 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 83.31 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 83.31 is 100%, so we can write it down as 83.31=100%.
4. We know, that x is 11.67% of the output value, so we can write it down as x=11.67%.
5. Now we have two simple equations:
1) 83.31=100%
2) x=11.67%
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:
83.31/x=100%/11.67%
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 11.67% of 83.31

83.31/x=100/11.67
(83.31/x)*x=(100/11.67)*x       - we multiply both sides of the equation by x
83.31=8.5689802913453*x       - we divide both sides of the equation by (8.5689802913453) to get x
83.31/8.5689802913453=x
9.722277=x
x=9.722277

now we have:
11.67% of 83.31=9.722277