244.5 is what percent of 496.5 - 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 496.5 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 496.5, so we can write it down as 100%=496.5.
4. We know, that x% equals 244.5 of the output value, so we can write it down as x%=244.5.
5. Now we have two simple equations:
1) 100%=496.5
2) x%=244.5
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%=496.5/244.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 244.5 is what percent of 496.5

100%/x%=496.5/244.5
(100/x)*x=(496.5/244.5)*x       - we multiply both sides of the equation by x
100=2.0306748466258*x       - we divide both sides of the equation by (2.0306748466258) to get x
100/2.0306748466258=x
49.244712990937=x
x=49.244712990937

now we have:
244.5 is 49.244712990937% of 496.5