64 is what percent of 1171 - 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 1171 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 1171, so we can write it down as 100%=1171.
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%=1171
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%=1171/64
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 1171

100%/x%=1171/64
(100/x)*x=(1171/64)*x       - we multiply both sides of the equation by x
100=18.296875*x       - we divide both sides of the equation by (18.296875) to get x
100/18.296875=x
5.465414175918=x
x=5.465414175918

now we have:
64 is 5.465414175918% of 1171