6.4 is what percent of 15.465 - 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 15.465 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 15.465, so we can write it down as 100%=15.465.
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%=15.465
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%=15.465/6.4
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 15.465

100%/x%=15.465/6.4
(100/x)*x=(15.465/6.4)*x       - we multiply both sides of the equation by x
100=2.41640625*x       - we divide both sides of the equation by (2.41640625) to get x
100/2.41640625=x
41.38376980278=x
x=41.38376980278

now we have:
6.4 is 41.38376980278% of 15.465