486.75 is what percent of 566.9 - 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 566.9 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 566.9, so we can write it down as 100%=566.9.
4. We know, that x% equals 486.75 of the output value, so we can write it down as x%=486.75.
5. Now we have two simple equations:
1) 100%=566.9
2) x%=486.75
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%=566.9/486.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 486.75 is what percent of 566.9

100%/x%=566.9/486.75
(100/x)*x=(566.9/486.75)*x       - we multiply both sides of the equation by x
100=1.1646635850026*x       - we divide both sides of the equation by (1.1646635850026) to get x
100/1.1646635850026=x
85.861704004234=x
x=85.861704004234

now we have:
486.75 is 85.861704004234% of 566.9