396.46 is what percent of 1649.7 - 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 1649.7 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 1649.7, so we can write it down as 100%=1649.7.
4. We know, that x% equals 396.46 of the output value, so we can write it down as x%=396.46.
5. Now we have two simple equations:
1) 100%=1649.7
2) x%=396.46
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%=1649.7/396.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 396.46 is what percent of 1649.7

100%/x%=1649.7/396.46
(100/x)*x=(1649.7/396.46)*x       - we multiply both sides of the equation by x
100=4.1610755183373*x       - we divide both sides of the equation by (4.1610755183373) to get x
100/4.1610755183373=x
24.032248287567=x
x=24.032248287567

now we have:
396.46 is 24.032248287567% of 1649.7