635.38 is what percent of 10166 - 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 10166 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 10166, so we can write it down as 100%=10166.
4. We know, that x% equals 635.38 of the output value, so we can write it down as x%=635.38.
5. Now we have two simple equations:
1) 100%=10166
2) x%=635.38
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%=10166/635.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 635.38 is what percent of 10166

100%/x%=10166/635.38
(100/x)*x=(10166/635.38)*x       - we multiply both sides of the equation by x
100=15.999874091095*x       - we divide both sides of the equation by (15.999874091095) to get x
100/15.999874091095=x
6.250049183553=x
x=6.250049183553

now we have:
635.38 is 6.250049183553% of 10166