48.73 is what percent of 738.3 - 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 738.3 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 738.3, so we can write it down as 100%=738.3.
4. We know, that x% equals 48.73 of the output value, so we can write it down as x%=48.73.
5. Now we have two simple equations:
1) 100%=738.3
2) x%=48.73
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%=738.3/48.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.73 is what percent of 738.3

100%/x%=738.3/48.73
(100/x)*x=(738.3/48.73)*x       - we multiply both sides of the equation by x
100=15.150831110199*x       - we divide both sides of the equation by (15.150831110199) to get x
100/15.150831110199=x
6.6002979818502=x
x=6.6002979818502

now we have:
48.73 is 6.6002979818502% of 738.3