38.73 is what percent of 488.96 - 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 488.96 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 488.96, so we can write it down as 100%=488.96.
4. We know, that x% equals 38.73 of the output value, so we can write it down as x%=38.73.
5. Now we have two simple equations:
1) 100%=488.96
2) x%=38.73
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%=488.96/38.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.73 is what percent of 488.96

100%/x%=488.96/38.73
(100/x)*x=(488.96/38.73)*x       - we multiply both sides of the equation by x
100=12.624838626388*x       - we divide both sides of the equation by (12.624838626388) to get x
100/12.624838626388=x
7.9208933246073=x
x=7.9208933246073

now we have:
38.73 is 7.9208933246073% of 488.96