3970.5 is what percent of 48289.7 - 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 48289.7 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 48289.7, so we can write it down as 100%=48289.7.
4. We know, that x% equals 3970.5 of the output value, so we can write it down as x%=3970.5.
5. Now we have two simple equations:
1) 100%=48289.7
2) x%=3970.5
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%=48289.7/3970.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3970.5 is what percent of 48289.7

100%/x%=48289.7/3970.5
(100/x)*x=(48289.7/3970.5)*x       - we multiply both sides of the equation by x
100=12.162120639718*x       - we divide both sides of the equation by (12.162120639718) to get x
100/12.162120639718=x
8.2222502935409=x
x=8.2222502935409

now we have:
3970.5 is 8.2222502935409% of 48289.7