486.42 is what percent of 609 - 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 609 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 609, so we can write it down as 100%=609.
4. We know, that x% equals 486.42 of the output value, so we can write it down as x%=486.42.
5. Now we have two simple equations:
1) 100%=609
2) x%=486.42
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%=609/486.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 486.42 is what percent of 609

100%/x%=609/486.42
(100/x)*x=(609/486.42)*x       - we multiply both sides of the equation by x
100=1.2520044406069*x       - we divide both sides of the equation by (1.2520044406069) to get x
100/1.2520044406069=x
79.871921182266=x
x=79.871921182266

now we have:
486.42 is 79.871921182266% of 609