What is 7.67 percent of 5825.47 - 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 5825.47 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 5825.47 is 100%, so we can write it down as 5825.47=100%.
4. We know, that x is 7.67% of the output value, so we can write it down as x=7.67%.
5. Now we have two simple equations:
1) 5825.47=100%
2) x=7.67%
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:
5825.47/x=100%/7.67%
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 7.67% of 5825.47

5825.47/x=100/7.67
(5825.47/x)*x=(100/7.67)*x       - we multiply both sides of the equation by x
5825.47=13.037809647979*x       - we divide both sides of the equation by (13.037809647979) to get x
5825.47/13.037809647979=x
446.813549=x
x=446.813549

now we have:
7.67% of 5825.47=446.813549