76 is what percent of 7706 - 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 7706 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 7706, so we can write it down as 100%=7706.
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%=7706
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%=7706/76
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 7706

100%/x%=7706/76
(100/x)*x=(7706/76)*x       - we multiply both sides of the equation by x
100=101.39473684211*x       - we divide both sides of the equation by (101.39473684211) to get x
100/101.39473684211=x
0.98624448481703=x
x=0.98624448481703

now we have:
76 is 0.98624448481703% of 7706