31.99 is what 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 100% equals 107.99, so we can write it down as 100%=107.99.
4. We know, that x% equals 31.99 of the output value, so we can write it down as x%=31.99.
5. Now we have two simple equations:
1) 100%=107.99
2) x%=31.99
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%=107.99/31.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.99 is what percent of 107.99

100%/x%=107.99/31.99
(100/x)*x=(107.99/31.99)*x       - we multiply both sides of the equation by x
100=3.3757424195061*x       - we divide both sides of the equation by (3.3757424195061) to get x
100/3.3757424195061=x
29.623113251227=x
x=29.623113251227

now we have:
31.99 is 29.623113251227% of 107.99