478.4 is what percent of 1048.55 - 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 1048.55 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 1048.55, so we can write it down as 100%=1048.55.
4. We know, that x% equals 478.4 of the output value, so we can write it down as x%=478.4.
5. Now we have two simple equations:
1) 100%=1048.55
2) x%=478.4
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%=1048.55/478.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 478.4 is what percent of 1048.55

100%/x%=1048.55/478.4
(100/x)*x=(1048.55/478.4)*x       - we multiply both sides of the equation by x
100=2.1917851170569*x       - we divide both sides of the equation by (2.1917851170569) to get x
100/2.1917851170569=x
45.624910590816=x
x=45.624910590816

now we have:
478.4 is 45.624910590816% of 1048.55