64 is what percent of 4289 - 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 4289 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 4289, so we can write it down as 100%=4289.
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%=4289
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%=4289/64
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 4289

100%/x%=4289/64
(100/x)*x=(4289/64)*x       - we multiply both sides of the equation by x
100=67.015625*x       - we divide both sides of the equation by (67.015625) to get x
100/67.015625=x
1.4921893215202=x
x=1.4921893215202

now we have:
64 is 1.4921893215202% of 4289