67.92 is what percent of 454.4 - 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 454.4 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 454.4, so we can write it down as 100%=454.4.
4. We know, that x% equals 67.92 of the output value, so we can write it down as x%=67.92.
5. Now we have two simple equations:
1) 100%=454.4
2) x%=67.92
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%=454.4/67.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67.92 is what percent of 454.4

100%/x%=454.4/67.92
(100/x)*x=(454.4/67.92)*x       - we multiply both sides of the equation by x
100=6.6902237926973*x       - we divide both sides of the equation by (6.6902237926973) to get x
100/6.6902237926973=x
14.947183098592=x
x=14.947183098592

now we have:
67.92 is 14.947183098592% of 454.4