279.15 is what percent of 310.17 - 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 310.17 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 310.17, so we can write it down as 100%=310.17.
4. We know, that x% equals 279.15 of the output value, so we can write it down as x%=279.15.
5. Now we have two simple equations:
1) 100%=310.17
2) x%=279.15
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%=310.17/279.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 279.15 is what percent of 310.17

100%/x%=310.17/279.15
(100/x)*x=(310.17/279.15)*x       - we multiply both sides of the equation by x
100=1.1111230521225*x       - we divide both sides of the equation by (1.1111230521225) to get x
100/1.1111230521225=x
89.999032788471=x
x=89.999032788471

now we have:
279.15 is 89.999032788471% of 310.17