76 is what percent of 3920 - 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 3920 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 3920, so we can write it down as 100%=3920.
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%=3920
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%=3920/76
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 3920

100%/x%=3920/76
(100/x)*x=(3920/76)*x       - we multiply both sides of the equation by x
100=51.578947368421*x       - we divide both sides of the equation by (51.578947368421) to get x
100/51.578947368421=x
1.9387755102041=x
x=1.9387755102041

now we have:
76 is 1.9387755102041% of 3920