What is 85.84 percent of 10.82 - 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 10.82 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 10.82 is 100%, so we can write it down as 10.82=100%.
4. We know, that x is 85.84% of the output value, so we can write it down as x=85.84%.
5. Now we have two simple equations:
1) 10.82=100%
2) x=85.84%
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:
10.82/x=100%/85.84%
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 85.84% of 10.82

10.82/x=100/85.84
(10.82/x)*x=(100/85.84)*x       - we multiply both sides of the equation by x
10.82=1.1649580615098*x       - we divide both sides of the equation by (1.1649580615098) to get x
10.82/1.1649580615098=x
9.287888=x
x=9.287888

now we have:
85.84% of 10.82=9.287888