44.97 is what percent of 487.62 - 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 487.62 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 487.62, so we can write it down as 100%=487.62.
4. We know, that x% equals 44.97 of the output value, so we can write it down as x%=44.97.
5. Now we have two simple equations:
1) 100%=487.62
2) x%=44.97
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%=487.62/44.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 44.97 is what percent of 487.62

100%/x%=487.62/44.97
(100/x)*x=(487.62/44.97)*x       - we multiply both sides of the equation by x
100=10.843228819213*x       - we divide both sides of the equation by (10.843228819213) to get x
100/10.843228819213=x
9.2223452688569=x
x=9.2223452688569

now we have:
44.97 is 9.2223452688569% of 487.62