404.8 is what percent of 487.71 - 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 487.71 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 487.71, so we can write it down as 100%=487.71.
4. We know, that x% equals 404.8 of the output value, so we can write it down as x%=404.8.
5. Now we have two simple equations:
1) 100%=487.71
2) x%=404.8
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%=487.71/404.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 404.8 is what percent of 487.71

100%/x%=487.71/404.8
(100/x)*x=(487.71/404.8)*x       - we multiply both sides of the equation by x
100=1.2048171936759*x       - we divide both sides of the equation by (1.2048171936759) to get x
100/1.2048171936759=x
83.000143527916=x
x=83.000143527916

now we have:
404.8 is 83.000143527916% of 487.71