84.6 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 84.6 of the output value, so we can write it down as x%=84.6.
5. Now we have two simple equations:
1) 100%=550
2) x%=84.6
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%=550/84.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 84.6 is what percent of 550

100%/x%=550/84.6
(100/x)*x=(550/84.6)*x       - we multiply both sides of the equation by x
100=6.5011820330969*x       - we divide both sides of the equation by (6.5011820330969) to get x
100/6.5011820330969=x
15.381818181818=x
x=15.381818181818

now we have:
84.6 is 15.381818181818% of 550