82.73 is what percent of 551.55 - 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 551.55 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 551.55, so we can write it down as 100%=551.55.
4. We know, that x% equals 82.73 of the output value, so we can write it down as x%=82.73.
5. Now we have two simple equations:
1) 100%=551.55
2) x%=82.73
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%=551.55/82.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 82.73 is what percent of 551.55

100%/x%=551.55/82.73
(100/x)*x=(551.55/82.73)*x       - we multiply both sides of the equation by x
100=6.6668681252266*x       - we divide both sides of the equation by (6.6668681252266) to get x
100/6.6668681252266=x
14.999546731937=x
x=14.999546731937

now we have:
82.73 is 14.999546731937% of 551.55