46 is what percent of 2008 - 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 2008 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 2008, so we can write it down as 100%=2008.
4. We know, that x% equals 46 of the output value, so we can write it down as x%=46.
5. Now we have two simple equations:
1) 100%=2008
2) x%=46
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%=2008/46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46 is what percent of 2008

100%/x%=2008/46
(100/x)*x=(2008/46)*x       - we multiply both sides of the equation by x
100=43.652173913043*x       - we divide both sides of the equation by (43.652173913043) to get x
100/43.652173913043=x
2.2908366533865=x
x=2.2908366533865

now we have:
46 is 2.2908366533865% of 2008