478.72 is what percent of 2842.4 - 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 2842.4 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 2842.4, so we can write it down as 100%=2842.4.
4. We know, that x% equals 478.72 of the output value, so we can write it down as x%=478.72.
5. Now we have two simple equations:
1) 100%=2842.4
2) x%=478.72
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%=2842.4/478.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 478.72 is what percent of 2842.4

100%/x%=2842.4/478.72
(100/x)*x=(2842.4/478.72)*x       - we multiply both sides of the equation by x
100=5.9375*x       - we divide both sides of the equation by (5.9375) to get x
100/5.9375=x
16.842105263158=x
x=16.842105263158

now we have:
478.72 is 16.842105263158% of 2842.4