6.4 is what percent of 32.1 - 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 32.1 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 32.1, so we can write it down as 100%=32.1.
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%=32.1
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%=32.1/6.4
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 32.1

100%/x%=32.1/6.4
(100/x)*x=(32.1/6.4)*x       - we multiply both sides of the equation by x
100=5.015625*x       - we divide both sides of the equation by (5.015625) to get x
100/5.015625=x
19.93769470405=x
x=19.93769470405

now we have:
6.4 is 19.93769470405% of 32.1