What is 31.607 percent of 33.888 - 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 33.888 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 33.888 is 100%, so we can write it down as 33.888=100%.
4. We know, that x is 31.607% of the output value, so we can write it down as x=31.607%.
5. Now we have two simple equations:
1) 33.888=100%
2) x=31.607%
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:
33.888/x=100%/31.607%
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 31.607% of 33.888

33.888/x=100/31.607
(33.888/x)*x=(100/31.607)*x       - we multiply both sides of the equation by x
33.888=3.1638561078242*x       - we divide both sides of the equation by (3.1638561078242) to get x
33.888/3.1638561078242=x
10.71098016=x
x=10.71098016

now we have:
31.607% of 33.888=10.71098016