451.67 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 451.67 of the output value, so we can write it down as x%=451.67.
5. Now we have two simple equations:
1) 100%=550
2) x%=451.67
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%=550/451.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 451.67 is what percent of 550

100%/x%=550/451.67
(100/x)*x=(550/451.67)*x       - we multiply both sides of the equation by x
100=1.2177031903824*x       - we divide both sides of the equation by (1.2177031903824) to get x
100/1.2177031903824=x
82.121818181818=x
x=82.121818181818

now we have:
451.67 is 82.121818181818% of 550