5 is what percent of 9.2654 - 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 9.2654 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 9.2654, so we can write it down as 100%=9.2654.
4. We know, that x% equals 5 of the output value, so we can write it down as x%=5.
5. Now we have two simple equations:
1) 100%=9.2654
2) x%=5
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%=9.2654/5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5 is what percent of 9.2654

100%/x%=9.2654/5
(100/x)*x=(9.2654/5)*x       - we multiply both sides of the equation by x
100=1.85308*x       - we divide both sides of the equation by (1.85308) to get x
100/1.85308=x
53.964210935308=x
x=53.964210935308

now we have:
5 is 53.964210935308% of 9.2654