64 is what percent of 69.25 - 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 69.25 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 69.25, so we can write it down as 100%=69.25.
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%=69.25
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%=69.25/64
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 69.25

100%/x%=69.25/64
(100/x)*x=(69.25/64)*x       - we multiply both sides of the equation by x
100=1.08203125*x       - we divide both sides of the equation by (1.08203125) to get x
100/1.08203125=x
92.418772563177=x
x=92.418772563177

now we have:
64 is 92.418772563177% of 69.25