What is 10.65 percent of 772 - 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 772 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 772 is 100%, so we can write it down as 772=100%.
4. We know, that x is 10.65% of the output value, so we can write it down as x=10.65%.
5. Now we have two simple equations:
1) 772=100%
2) x=10.65%
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:
772/x=100%/10.65%
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 10.65% of 772

772/x=100/10.65
(772/x)*x=(100/10.65)*x       - we multiply both sides of the equation by x
772=9.3896713615023*x       - we divide both sides of the equation by (9.3896713615023) to get x
772/9.3896713615023=x
82.218=x
x=82.218

now we have:
10.65% of 772=82.218