496.49 is what percent of 2755 - 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 2755 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 2755, so we can write it down as 100%=2755.
4. We know, that x% equals 496.49 of the output value, so we can write it down as x%=496.49.
5. Now we have two simple equations:
1) 100%=2755
2) x%=496.49
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%=2755/496.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 496.49 is what percent of 2755

100%/x%=2755/496.49
(100/x)*x=(2755/496.49)*x       - we multiply both sides of the equation by x
100=5.5489536546557*x       - we divide both sides of the equation by (5.5489536546557) to get x
100/5.5489536546557=x
18.021415607985=x
x=18.021415607985

now we have:
496.49 is 18.021415607985% of 2755