727.55 is what percent of 2677.58 - 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 2677.58 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 2677.58, so we can write it down as 100%=2677.58.
4. We know, that x% equals 727.55 of the output value, so we can write it down as x%=727.55.
5. Now we have two simple equations:
1) 100%=2677.58
2) x%=727.55
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%=2677.58/727.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 727.55 is what percent of 2677.58

100%/x%=2677.58/727.55
(100/x)*x=(2677.58/727.55)*x       - we multiply both sides of the equation by x
100=3.6802693972923*x       - we divide both sides of the equation by (3.6802693972923) to get x
100/3.6802693972923=x
27.171923901433=x
x=27.171923901433

now we have:
727.55 is 27.171923901433% of 2677.58