0.64 is what percent of 85.07 - 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 85.07 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 85.07, so we can write it down as 100%=85.07.
4. We know, that x% equals 0.64 of the output value, so we can write it down as x%=0.64.
5. Now we have two simple equations:
1) 100%=85.07
2) x%=0.64
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%=85.07/0.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.64 is what percent of 85.07

100%/x%=85.07/0.64
(100/x)*x=(85.07/0.64)*x       - we multiply both sides of the equation by x
100=132.921875*x       - we divide both sides of the equation by (132.921875) to get x
100/132.921875=x
0.75232161749148=x
x=0.75232161749148

now we have:
0.64 is 0.75232161749148% of 85.07