What is 28 percent of 829.49 - 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 829.49 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 829.49 is 100%, so we can write it down as 829.49=100%.
4. We know, that x is 28% of the output value, so we can write it down as x=28%.
5. Now we have two simple equations:
1) 829.49=100%
2) x=28%
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:
829.49/x=100%/28%
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 28% of 829.49

829.49/x=100/28
(829.49/x)*x=(100/28)*x       - we multiply both sides of the equation by x
829.49=3.5714285714286*x       - we divide both sides of the equation by (3.5714285714286) to get x
829.49/3.5714285714286=x
232.2572=x
x=232.2572

now we have:
28% of 829.49=232.2572