45.09 is what percent of 499.4 - 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 499.4 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 499.4, so we can write it down as 100%=499.4.
4. We know, that x% equals 45.09 of the output value, so we can write it down as x%=45.09.
5. Now we have two simple equations:
1) 100%=499.4
2) x%=45.09
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%=499.4/45.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.09 is what percent of 499.4

100%/x%=499.4/45.09
(100/x)*x=(499.4/45.09)*x       - we multiply both sides of the equation by x
100=11.075626524728*x       - we divide both sides of the equation by (11.075626524728) to get x
100/11.075626524728=x
9.0288346015218=x
x=9.0288346015218

now we have:
45.09 is 9.0288346015218% of 499.4