64 is what percent of 901 - 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 901 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 901, so we can write it down as 100%=901.
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%=901
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%=901/64
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 901

100%/x%=901/64
(100/x)*x=(901/64)*x       - we multiply both sides of the equation by x
100=14.078125*x       - we divide both sides of the equation by (14.078125) to get x
100/14.078125=x
7.1032186459489=x
x=7.1032186459489

now we have:
64 is 7.1032186459489% of 901