73.46 is what percent of 489.73 - 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 489.73 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 489.73, so we can write it down as 100%=489.73.
4. We know, that x% equals 73.46 of the output value, so we can write it down as x%=73.46.
5. Now we have two simple equations:
1) 100%=489.73
2) x%=73.46
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%=489.73/73.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 73.46 is what percent of 489.73

100%/x%=489.73/73.46
(100/x)*x=(489.73/73.46)*x       - we multiply both sides of the equation by x
100=6.6666212904982*x       - we divide both sides of the equation by (6.6666212904982) to get x
100/6.6666212904982=x
15.000102097074=x
x=15.000102097074

now we have:
73.46 is 15.000102097074% of 489.73