64 is what percent of 14.244 - 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 14.244 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 14.244, so we can write it down as 100%=14.244.
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%=14.244
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%=14.244/64
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 14.244

100%/x%=14.244/64
(100/x)*x=(14.244/64)*x       - we multiply both sides of the equation by x
100=0.2225625*x       - we divide both sides of the equation by (0.2225625) to get x
100/0.2225625=x
449.31199101376=x
x=449.31199101376

now we have:
64 is 449.31199101376% of 14.244