31.75 is what percent of 114 - 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 114 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 114, so we can write it down as 100%=114.
4. We know, that x% equals 31.75 of the output value, so we can write it down as x%=31.75.
5. Now we have two simple equations:
1) 100%=114
2) x%=31.75
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%=114/31.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.75 is what percent of 114

100%/x%=114/31.75
(100/x)*x=(114/31.75)*x       - we multiply both sides of the equation by x
100=3.5905511811024*x       - we divide both sides of the equation by (3.5905511811024) to get x
100/3.5905511811024=x
27.850877192982=x
x=27.850877192982

now we have:
31.75 is 27.850877192982% of 114