2040.4 is what percent of 3060.65 - 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 3060.65 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 3060.65, so we can write it down as 100%=3060.65.
4. We know, that x% equals 2040.4 of the output value, so we can write it down as x%=2040.4.
5. Now we have two simple equations:
1) 100%=3060.65
2) x%=2040.4
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%=3060.65/2040.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2040.4 is what percent of 3060.65

100%/x%=3060.65/2040.4
(100/x)*x=(3060.65/2040.4)*x       - we multiply both sides of the equation by x
100=1.500024504999*x       - we divide both sides of the equation by (1.500024504999) to get x
100/1.500024504999=x
66.665577573391=x
x=66.665577573391

now we have:
2040.4 is 66.665577573391% of 3060.65