What is 2.79 percent of 31 - 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 31 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 31 is 100%, so we can write it down as 31=100%.
4. We know, that x is 2.79% of the output value, so we can write it down as x=2.79%.
5. Now we have two simple equations:
1) 31=100%
2) x=2.79%
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:
31/x=100%/2.79%
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 2.79% of 31

31/x=100/2.79
(31/x)*x=(100/2.79)*x       - we multiply both sides of the equation by x
31=35.84229390681*x       - we divide both sides of the equation by (35.84229390681) to get x
31/35.84229390681=x
0.8649=x
x=0.8649

now we have:
2.79% of 31=0.8649