68.13 is what percent of 459.9 - 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 459.9 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 459.9, so we can write it down as 100%=459.9.
4. We know, that x% equals 68.13 of the output value, so we can write it down as x%=68.13.
5. Now we have two simple equations:
1) 100%=459.9
2) x%=68.13
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%=459.9/68.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 68.13 is what percent of 459.9

100%/x%=459.9/68.13
(100/x)*x=(459.9/68.13)*x       - we multiply both sides of the equation by x
100=6.7503302509908*x       - we divide both sides of the equation by (6.7503302509908) to get x
100/6.7503302509908=x
14.814090019569=x
x=14.814090019569

now we have:
68.13 is 14.814090019569% of 459.9