What is 520 percent of 825.4 - 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 825.4 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 825.4 is 100%, so we can write it down as 825.4=100%.
4. We know, that x is 520% of the output value, so we can write it down as x=520%.
5. Now we have two simple equations:
1) 825.4=100%
2) x=520%
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:
825.4/x=100%/520%
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 520% of 825.4

825.4/x=100/520
(825.4/x)*x=(100/520)*x       - we multiply both sides of the equation by x
825.4=0.19230769230769*x       - we divide both sides of the equation by (0.19230769230769) to get x
825.4/0.19230769230769=x
4292.08=x
x=4292.08

now we have:
520% of 825.4=4292.08