496.09 is what percent of 1226.04 - 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 1226.04 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 1226.04, so we can write it down as 100%=1226.04.
4. We know, that x% equals 496.09 of the output value, so we can write it down as x%=496.09.
5. Now we have two simple equations:
1) 100%=1226.04
2) x%=496.09
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%=1226.04/496.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 496.09 is what percent of 1226.04

100%/x%=1226.04/496.09
(100/x)*x=(1226.04/496.09)*x       - we multiply both sides of the equation by x
100=2.4714063980326*x       - we divide both sides of the equation by (2.4714063980326) to get x
100/2.4714063980326=x
40.462790773547=x
x=40.462790773547

now we have:
496.09 is 40.462790773547% of 1226.04