What is 83.2 percent of 877.5 - 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 877.5 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 877.5 is 100%, so we can write it down as 877.5=100%.
4. We know, that x is 83.2% of the output value, so we can write it down as x=83.2%.
5. Now we have two simple equations:
1) 877.5=100%
2) x=83.2%
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:
877.5/x=100%/83.2%
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 83.2% of 877.5

877.5/x=100/83.2
(877.5/x)*x=(100/83.2)*x       - we multiply both sides of the equation by x
877.5=1.2019230769231*x       - we divide both sides of the equation by (1.2019230769231) to get x
877.5/1.2019230769231=x
730.08=x
x=730.08

now we have:
83.2% of 877.5=730.08