What is 31.98 percent of 107.99 - 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 107.99 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 107.99 is 100%, so we can write it down as 107.99=100%.
4. We know, that x is 31.98% of the output value, so we can write it down as x=31.98%.
5. Now we have two simple equations:
1) 107.99=100%
2) x=31.98%
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:
107.99/x=100%/31.98%
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 31.98% of 107.99

107.99/x=100/31.98
(107.99/x)*x=(100/31.98)*x       - we multiply both sides of the equation by x
107.99=3.1269543464665*x       - we divide both sides of the equation by (3.1269543464665) to get x
107.99/3.1269543464665=x
34.535202=x
x=34.535202

now we have:
31.98% of 107.99=34.535202