3847.65 is what percent of 6000 - 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 6000 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 6000, so we can write it down as 100%=6000.
4. We know, that x% equals 3847.65 of the output value, so we can write it down as x%=3847.65.
5. Now we have two simple equations:
1) 100%=6000
2) x%=3847.65
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%=6000/3847.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3847.65 is what percent of 6000

100%/x%=6000/3847.65
(100/x)*x=(6000/3847.65)*x       - we multiply both sides of the equation by x
100=1.559393395969*x       - we divide both sides of the equation by (1.559393395969) to get x
100/1.559393395969=x
64.1275=x
x=64.1275

now we have:
3847.65 is 64.1275% of 6000