2.6 is what percent of 310.2 - 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 310.2 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 310.2, so we can write it down as 100%=310.2.
4. We know, that x% equals 2.6 of the output value, so we can write it down as x%=2.6.
5. Now we have two simple equations:
1) 100%=310.2
2) x%=2.6
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%=310.2/2.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.6 is what percent of 310.2

100%/x%=310.2/2.6
(100/x)*x=(310.2/2.6)*x       - we multiply both sides of the equation by x
100=119.30769230769*x       - we divide both sides of the equation by (119.30769230769) to get x
100/119.30769230769=x
0.83816892327531=x
x=0.83816892327531

now we have:
2.6 is 0.83816892327531% of 310.2