502.4 is what percent of 2746.73 - 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 2746.73 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 2746.73, so we can write it down as 100%=2746.73.
4. We know, that x% equals 502.4 of the output value, so we can write it down as x%=502.4.
5. Now we have two simple equations:
1) 100%=2746.73
2) x%=502.4
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%=2746.73/502.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 502.4 is what percent of 2746.73

100%/x%=2746.73/502.4
(100/x)*x=(2746.73/502.4)*x       - we multiply both sides of the equation by x
100=5.4672173566879*x       - we divide both sides of the equation by (5.4672173566879) to get x
100/5.4672173566879=x
18.290840381108=x
x=18.290840381108

now we have:
502.4 is 18.290840381108% of 2746.73