What is 7 percent of 829.12 - 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 829.12 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 829.12 is 100%, so we can write it down as 829.12=100%.
4. We know, that x is 7% of the output value, so we can write it down as x=7%.
5. Now we have two simple equations:
1) 829.12=100%
2) x=7%
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:
829.12/x=100%/7%
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 7% of 829.12

829.12/x=100/7
(829.12/x)*x=(100/7)*x       - we multiply both sides of the equation by x
829.12=14.285714285714*x       - we divide both sides of the equation by (14.285714285714) to get x
829.12/14.285714285714=x
58.0384=x
x=58.0384

now we have:
7% of 829.12=58.0384