478.46 is what percent of 1018 - 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 1018 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 1018, so we can write it down as 100%=1018.
4. We know, that x% equals 478.46 of the output value, so we can write it down as x%=478.46.
5. Now we have two simple equations:
1) 100%=1018
2) x%=478.46
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%=1018/478.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 478.46 is what percent of 1018

100%/x%=1018/478.46
(100/x)*x=(1018/478.46)*x       - we multiply both sides of the equation by x
100=2.1276595744681*x       - we divide both sides of the equation by (2.1276595744681) to get x
100/2.1276595744681=x
47=x
x=47

now we have:
478.46 is 47% of 1018