64 is what percent of 20798 - 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 20798 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 20798, so we can write it down as 100%=20798.
4. We know, that x% equals 64 of the output value, so we can write it down as x%=64.
5. Now we have two simple equations:
1) 100%=20798
2) x%=64
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%=20798/64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 64 is what percent of 20798

100%/x%=20798/64
(100/x)*x=(20798/64)*x       - we multiply both sides of the equation by x
100=324.96875*x       - we divide both sides of the equation by (324.96875) to get x
100/324.96875=x
0.30772189633619=x
x=0.30772189633619

now we have:
64 is 0.30772189633619% of 20798