495.48 is what percent of 1225.14 - 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 1225.14 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 1225.14, so we can write it down as 100%=1225.14.
4. We know, that x% equals 495.48 of the output value, so we can write it down as x%=495.48.
5. Now we have two simple equations:
1) 100%=1225.14
2) x%=495.48
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%=1225.14/495.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 495.48 is what percent of 1225.14

100%/x%=1225.14/495.48
(100/x)*x=(1225.14/495.48)*x       - we multiply both sides of the equation by x
100=2.4726325986922*x       - we divide both sides of the equation by (2.4726325986922) to get x
100/2.4726325986922=x
40.442724913071=x
x=40.442724913071

now we have:
495.48 is 40.442724913071% of 1225.14