What is 110 percent of 31.9 - 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 31.9 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 31.9 is 100%, so we can write it down as 31.9=100%.
4. We know, that x is 110% of the output value, so we can write it down as x=110%.
5. Now we have two simple equations:
1) 31.9=100%
2) x=110%
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:
31.9/x=100%/110%
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 110% of 31.9

31.9/x=100/110
(31.9/x)*x=(100/110)*x       - we multiply both sides of the equation by x
31.9=0.90909090909091*x       - we divide both sides of the equation by (0.90909090909091) to get x
31.9/0.90909090909091=x
35.09=x
x=35.09

now we have:
110% of 31.9=35.09