466.5 is what percent of 550 - 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 550 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 550, so we can write it down as 100%=550.
4. We know, that x% equals 466.5 of the output value, so we can write it down as x%=466.5.
5. Now we have two simple equations:
1) 100%=550
2) x%=466.5
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%=550/466.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 466.5 is what percent of 550

100%/x%=550/466.5
(100/x)*x=(550/466.5)*x       - we multiply both sides of the equation by x
100=1.1789924973205*x       - we divide both sides of the equation by (1.1789924973205) to get x
100/1.1789924973205=x
84.818181818182=x
x=84.818181818182

now we have:
466.5 is 84.818181818182% of 550