64 is what percent of 256000 - 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 256000 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 256000, so we can write it down as 100%=256000.
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%=256000
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%=256000/64
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 256000

100%/x%=256000/64
(100/x)*x=(256000/64)*x       - we multiply both sides of the equation by x
100=4000*x       - we divide both sides of the equation by (4000) to get x
100/4000=x
0.025=x
x=0.025

now we have:
64 is 0.025% of 256000