495.76 is what percent of 1219.86 - 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 1219.86 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 1219.86, so we can write it down as 100%=1219.86.
4. We know, that x% equals 495.76 of the output value, so we can write it down as x%=495.76.
5. Now we have two simple equations:
1) 100%=1219.86
2) x%=495.76
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%=1219.86/495.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 495.76 is what percent of 1219.86

100%/x%=1219.86/495.76
(100/x)*x=(1219.86/495.76)*x       - we multiply both sides of the equation by x
100=2.4605857673068*x       - we divide both sides of the equation by (2.4605857673068) to get x
100/2.4605857673068=x
40.640729264014=x
x=40.640729264014

now we have:
495.76 is 40.640729264014% of 1219.86