What is 96.77 percent of 310 - 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 310 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 310 is 100%, so we can write it down as 310=100%.
4. We know, that x is 96.77% of the output value, so we can write it down as x=96.77%.
5. Now we have two simple equations:
1) 310=100%
2) x=96.77%
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:
310/x=100%/96.77%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 96.77% of 310

310/x=100/96.77
(310/x)*x=(100/96.77)*x       - we multiply both sides of the equation by x
310=1.0333781130516*x       - we divide both sides of the equation by (1.0333781130516) to get x
310/1.0333781130516=x
299.987=x
x=299.987

now we have:
96.77% of 310=299.987