77 is what percent of 2476 - 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 2476 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 2476, so we can write it down as 100%=2476.
4. We know, that x% equals 77 of the output value, so we can write it down as x%=77.
5. Now we have two simple equations:
1) 100%=2476
2) x%=77
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%=2476/77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77 is what percent of 2476

100%/x%=2476/77
(100/x)*x=(2476/77)*x       - we multiply both sides of the equation by x
100=32.155844155844*x       - we divide both sides of the equation by (32.155844155844) to get x
100/32.155844155844=x
3.1098546042003=x
x=3.1098546042003

now we have:
77 is 3.1098546042003% of 2476