501.73 is what percent of 2736.8 - 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 2736.8 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 2736.8, so we can write it down as 100%=2736.8.
4. We know, that x% equals 501.73 of the output value, so we can write it down as x%=501.73.
5. Now we have two simple equations:
1) 100%=2736.8
2) x%=501.73
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%=2736.8/501.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 501.73 is what percent of 2736.8

100%/x%=2736.8/501.73
(100/x)*x=(2736.8/501.73)*x       - we multiply both sides of the equation by x
100=5.4547266458055*x       - we divide both sides of the equation by (5.4547266458055) to get x
100/5.4547266458055=x
18.332724349605=x
x=18.332724349605

now we have:
501.73 is 18.332724349605% of 2736.8