5416.67 is what percent of 5000 - 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 5000 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 5000, so we can write it down as 100%=5000.
4. We know, that x% equals 5416.67 of the output value, so we can write it down as x%=5416.67.
5. Now we have two simple equations:
1) 100%=5000
2) x%=5416.67
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%=5000/5416.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5416.67 is what percent of 5000

100%/x%=5000/5416.67
(100/x)*x=(5000/5416.67)*x       - we multiply both sides of the equation by x
100=0.92307635502994*x       - we divide both sides of the equation by (0.92307635502994) to get x
100/0.92307635502994=x
108.3334=x
x=108.3334

now we have:
5416.67 is 108.3334% of 5000