495.34 is what percent of 2006 - 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 2006 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 2006, so we can write it down as 100%=2006.
4. We know, that x% equals 495.34 of the output value, so we can write it down as x%=495.34.
5. Now we have two simple equations:
1) 100%=2006
2) x%=495.34
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%=2006/495.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 495.34 is what percent of 2006

100%/x%=2006/495.34
(100/x)*x=(2006/495.34)*x       - we multiply both sides of the equation by x
100=4.0497436104494*x       - we divide both sides of the equation by (4.0497436104494) to get x
100/4.0497436104494=x
24.692921236291=x
x=24.692921236291

now we have:
495.34 is 24.692921236291% of 2006