208.4 is what percent of 3471 - 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 3471 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 3471, so we can write it down as 100%=3471.
4. We know, that x% equals 208.4 of the output value, so we can write it down as x%=208.4.
5. Now we have two simple equations:
1) 100%=3471
2) x%=208.4
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%=3471/208.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 208.4 is what percent of 3471

100%/x%=3471/208.4
(100/x)*x=(3471/208.4)*x       - we multiply both sides of the equation by x
100=16.65547024952*x       - we divide both sides of the equation by (16.65547024952) to get x
100/16.65547024952=x
6.0040334197638=x
x=6.0040334197638

now we have:
208.4 is 6.0040334197638% of 3471