310.66 is what percent of 400 - 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 400 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 400, so we can write it down as 100%=400.
4. We know, that x% equals 310.66 of the output value, so we can write it down as x%=310.66.
5. Now we have two simple equations:
1) 100%=400
2) x%=310.66
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%=400/310.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 310.66 is what percent of 400

100%/x%=400/310.66
(100/x)*x=(400/310.66)*x       - we multiply both sides of the equation by x
100=1.2875812785682*x       - we divide both sides of the equation by (1.2875812785682) to get x
100/1.2875812785682=x
77.665=x
x=77.665

now we have:
310.66 is 77.665% of 400