2007.64 is what percent of 2825.48 - 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 2825.48 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 100% equals 2825.48, so we can write it down as 100%=2825.48.
4. We know, that x% equals 2007.64 of the output value, so we can write it down as x%=2007.64.
5. Now we have two simple equations:
1) 100%=2825.48
2) x%=2007.64
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:
100%/x%=2825.48/2007.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2007.64 is what percent of 2825.48

100%/x%=2825.48/2007.64
(100/x)*x=(2825.48/2007.64)*x       - we multiply both sides of the equation by x
100=1.4073638700165*x       - we divide both sides of the equation by (1.4073638700165) to get x
100/1.4073638700165=x
71.05482962187=x
x=71.05482962187

now we have:
2007.64 is 71.05482962187% of 2825.48