45.39 is what percent of 491.68 - 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 491.68 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 491.68, so we can write it down as 100%=491.68.
4. We know, that x% equals 45.39 of the output value, so we can write it down as x%=45.39.
5. Now we have two simple equations:
1) 100%=491.68
2) x%=45.39
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%=491.68/45.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.39 is what percent of 491.68

100%/x%=491.68/45.39
(100/x)*x=(491.68/45.39)*x       - we multiply both sides of the equation by x
100=10.832341925534*x       - we divide both sides of the equation by (10.832341925534) to get x
100/10.832341925534=x
9.2316140579239=x
x=9.2316140579239

now we have:
45.39 is 9.2316140579239% of 491.68