3308.97 is what percent of 3971.98 - 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 3971.98 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 3971.98, so we can write it down as 100%=3971.98.
4. We know, that x% equals 3308.97 of the output value, so we can write it down as x%=3308.97.
5. Now we have two simple equations:
1) 100%=3971.98
2) x%=3308.97
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%=3971.98/3308.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3308.97 is what percent of 3971.98

100%/x%=3971.98/3308.97
(100/x)*x=(3971.98/3308.97)*x       - we multiply both sides of the equation by x
100=1.2003674859548*x       - we divide both sides of the equation by (1.2003674859548) to get x
100/1.2003674859548=x
83.307821288123=x
x=83.307821288123

now we have:
3308.97 is 83.307821288123% of 3971.98