What is 9.75 percent of 0.82 - 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 0.82 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 0.82 is 100%, so we can write it down as 0.82=100%.
4. We know, that x is 9.75% of the output value, so we can write it down as x=9.75%.
5. Now we have two simple equations:
1) 0.82=100%
2) x=9.75%
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:
0.82/x=100%/9.75%
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 9.75% of 0.82

0.82/x=100/9.75
(0.82/x)*x=(100/9.75)*x       - we multiply both sides of the equation by x
0.82=10.25641025641*x       - we divide both sides of the equation by (10.25641025641) to get x
0.82/10.25641025641=x
0.07995=x
x=0.07995

now we have:
9.75% of 0.82=0.07995