64 is what percent of 6318 - 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 6318 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 6318, so we can write it down as 100%=6318.
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%=6318
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%=6318/64
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 6318

100%/x%=6318/64
(100/x)*x=(6318/64)*x       - we multiply both sides of the equation by x
100=98.71875*x       - we divide both sides of the equation by (98.71875) to get x
100/98.71875=x
1.0129787907566=x
x=1.0129787907566

now we have:
64 is 1.0129787907566% of 6318