17.67 is what percent of 64 - 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 64 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 64, so we can write it down as 100%=64.
4. We know, that x% equals 17.67 of the output value, so we can write it down as x%=17.67.
5. Now we have two simple equations:
1) 100%=64
2) x%=17.67
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%=64/17.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.67 is what percent of 64

100%/x%=64/17.67
(100/x)*x=(64/17.67)*x       - we multiply both sides of the equation by x
100=3.6219581211092*x       - we divide both sides of the equation by (3.6219581211092) to get x
100/3.6219581211092=x
27.609375=x
x=27.609375

now we have:
17.67 is 27.609375% of 64