6.4 is what percent of 40400 - 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 40400 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 40400, so we can write it down as 100%=40400.
4. We know, that x% equals 6.4 of the output value, so we can write it down as x%=6.4.
5. Now we have two simple equations:
1) 100%=40400
2) x%=6.4
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%=40400/6.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.4 is what percent of 40400

100%/x%=40400/6.4
(100/x)*x=(40400/6.4)*x       - we multiply both sides of the equation by x
100=6312.5*x       - we divide both sides of the equation by (6312.5) to get x
100/6312.5=x
0.015841584158416=x
x=0.015841584158416

now we have:
6.4 is 0.015841584158416% of 40400