64 is what percent of 303.353 - 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 303.353 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 303.353, so we can write it down as 100%=303.353.
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%=303.353
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%=303.353/64
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 303.353

100%/x%=303.353/64
(100/x)*x=(303.353/64)*x       - we multiply both sides of the equation by x
100=4.739890625*x       - we divide both sides of the equation by (4.739890625) to get x
100/4.739890625=x
21.097533236856=x
x=21.097533236856

now we have:
64 is 21.097533236856% of 303.353