What is 825 percent of 838 - 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 838 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 838 is 100%, so we can write it down as 838=100%.
4. We know, that x is 825% of the output value, so we can write it down as x=825%.
5. Now we have two simple equations:
1) 838=100%
2) x=825%
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:
838/x=100%/825%
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 825% of 838

838/x=100/825
(838/x)*x=(100/825)*x       - we multiply both sides of the equation by x
838=0.12121212121212*x       - we divide both sides of the equation by (0.12121212121212) to get x
838/0.12121212121212=x
6913.5=x
x=6913.5

now we have:
825% of 838=6913.5