5251.6 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 5251.6 of the output value, so we can write it down as x%=5251.6.
5. Now we have two simple equations:
1) 100%=5000
2) x%=5251.6
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%=5000/5251.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5251.6 is what percent of 5000

100%/x%=5000/5251.6
(100/x)*x=(5000/5251.6)*x       - we multiply both sides of the equation by x
100=0.95209079137787*x       - we divide both sides of the equation by (0.95209079137787) to get x
100/0.95209079137787=x
105.032=x
x=105.032

now we have:
5251.6 is 105.032% of 5000