76 is what percent of 3982 - 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 3982 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 3982, so we can write it down as 100%=3982.
4. We know, that x% equals 76 of the output value, so we can write it down as x%=76.
5. Now we have two simple equations:
1) 100%=3982
2) x%=76
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%=3982/76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 76 is what percent of 3982

100%/x%=3982/76
(100/x)*x=(3982/76)*x       - we multiply both sides of the equation by x
100=52.394736842105*x       - we divide both sides of the equation by (52.394736842105) to get x
100/52.394736842105=x
1.9085886489201=x
x=1.9085886489201

now we have:
76 is 1.9085886489201% of 3982