64.17 is what percent of 1005.02 - 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 1005.02 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 1005.02, so we can write it down as 100%=1005.02.
4. We know, that x% equals 64.17 of the output value, so we can write it down as x%=64.17.
5. Now we have two simple equations:
1) 100%=1005.02
2) x%=64.17
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%=1005.02/64.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 64.17 is what percent of 1005.02

100%/x%=1005.02/64.17
(100/x)*x=(1005.02/64.17)*x       - we multiply both sides of the equation by x
100=15.661835748792*x       - we divide both sides of the equation by (15.661835748792) to get x
100/15.661835748792=x
6.3849475632326=x
x=6.3849475632326

now we have:
64.17 is 6.3849475632326% of 1005.02