294.8 is what percent of 487.6 - 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 487.6 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 487.6, so we can write it down as 100%=487.6.
4. We know, that x% equals 294.8 of the output value, so we can write it down as x%=294.8.
5. Now we have two simple equations:
1) 100%=487.6
2) x%=294.8
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%=487.6/294.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 294.8 is what percent of 487.6

100%/x%=487.6/294.8
(100/x)*x=(487.6/294.8)*x       - we multiply both sides of the equation by x
100=1.6540027137042*x       - we divide both sides of the equation by (1.6540027137042) to get x
100/1.6540027137042=x
60.459392945037=x
x=60.459392945037

now we have:
294.8 is 60.459392945037% of 487.6