7647.25 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 7647.25 of the output value, so we can write it down as x%=7647.25.
5. Now we have two simple equations:
1) 100%=5000
2) x%=7647.25
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%=5000/7647.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7647.25 is what percent of 5000

100%/x%=5000/7647.25
(100/x)*x=(5000/7647.25)*x       - we multiply both sides of the equation by x
100=0.65382980810095*x       - we divide both sides of the equation by (0.65382980810095) to get x
100/0.65382980810095=x
152.945=x
x=152.945

now we have:
7647.25 is 152.945% of 5000