276.12 is what percent of 310.98 - 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 310.98 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 310.98, so we can write it down as 100%=310.98.
4. We know, that x% equals 276.12 of the output value, so we can write it down as x%=276.12.
5. Now we have two simple equations:
1) 100%=310.98
2) x%=276.12
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%=310.98/276.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 276.12 is what percent of 310.98

100%/x%=310.98/276.12
(100/x)*x=(310.98/276.12)*x       - we multiply both sides of the equation by x
100=1.1262494567579*x       - we divide both sides of the equation by (1.1262494567579) to get x
100/1.1262494567579=x
88.790275901987=x
x=88.790275901987

now we have:
276.12 is 88.790275901987% of 310.98