What is 10.824 percent of 79900 - 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 79900 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 79900 is 100%, so we can write it down as 79900=100%.
4. We know, that x is 10.824% of the output value, so we can write it down as x=10.824%.
5. Now we have two simple equations:
1) 79900=100%
2) x=10.824%
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:
79900/x=100%/10.824%
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 10.824% of 79900

79900/x=100/10.824
(79900/x)*x=(100/10.824)*x       - we multiply both sides of the equation by x
79900=9.2387287509239*x       - we divide both sides of the equation by (9.2387287509239) to get x
79900/9.2387287509239=x
8648.376=x
x=8648.376

now we have:
10.824% of 79900=8648.376