64 is what percent of 1078 - 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 1078 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 1078, so we can write it down as 100%=1078.
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%=1078
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%=1078/64
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 1078

100%/x%=1078/64
(100/x)*x=(1078/64)*x       - we multiply both sides of the equation by x
100=16.84375*x       - we divide both sides of the equation by (16.84375) to get x
100/16.84375=x
5.9369202226345=x
x=5.9369202226345

now we have:
64 is 5.9369202226345% of 1078