289.5 is what percent of 579.5 - 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 579.5 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 579.5, so we can write it down as 100%=579.5.
4. We know, that x% equals 289.5 of the output value, so we can write it down as x%=289.5.
5. Now we have two simple equations:
1) 100%=579.5
2) x%=289.5
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%=579.5/289.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 289.5 is what percent of 579.5

100%/x%=579.5/289.5
(100/x)*x=(579.5/289.5)*x       - we multiply both sides of the equation by x
100=2.0017271157168*x       - we divide both sides of the equation by (2.0017271157168) to get x
100/2.0017271157168=x
49.956859361519=x
x=49.956859361519

now we have:
289.5 is 49.956859361519% of 579.5