409.68 is what percent of 1538.46 - 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 1538.46 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 1538.46, so we can write it down as 100%=1538.46.
4. We know, that x% equals 409.68 of the output value, so we can write it down as x%=409.68.
5. Now we have two simple equations:
1) 100%=1538.46
2) x%=409.68
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%=1538.46/409.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 409.68 is what percent of 1538.46

100%/x%=1538.46/409.68
(100/x)*x=(1538.46/409.68)*x       - we multiply both sides of the equation by x
100=3.7552724077329*x       - we divide both sides of the equation by (3.7552724077329) to get x
100/3.7552724077329=x
26.629226629227=x
x=26.629226629227

now we have:
409.68 is 26.629226629227% of 1538.46