330.12 is what percent of 1600.4 - 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 1600.4 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 1600.4, so we can write it down as 100%=1600.4.
4. We know, that x% equals 330.12 of the output value, so we can write it down as x%=330.12.
5. Now we have two simple equations:
1) 100%=1600.4
2) x%=330.12
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%=1600.4/330.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 330.12 is what percent of 1600.4

100%/x%=1600.4/330.12
(100/x)*x=(1600.4/330.12)*x       - we multiply both sides of the equation by x
100=4.8479340845753*x       - we divide both sides of the equation by (4.8479340845753) to get x
100/4.8479340845753=x
20.627343164209=x
x=20.627343164209

now we have:
330.12 is 20.627343164209% of 1600.4