483.42 is what percent of 1646.49 - 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 1646.49 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 1646.49, so we can write it down as 100%=1646.49.
4. We know, that x% equals 483.42 of the output value, so we can write it down as x%=483.42.
5. Now we have two simple equations:
1) 100%=1646.49
2) x%=483.42
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%=1646.49/483.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 483.42 is what percent of 1646.49

100%/x%=1646.49/483.42
(100/x)*x=(1646.49/483.42)*x       - we multiply both sides of the equation by x
100=3.4059203177361*x       - we divide both sides of the equation by (3.4059203177361) to get x
100/3.4059203177361=x
29.360639906711=x
x=29.360639906711

now we have:
483.42 is 29.360639906711% of 1646.49