27.75 is what percent of 31 - 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 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 31, so we can write it down as 100%=31.
4. We know, that x% equals 27.75 of the output value, so we can write it down as x%=27.75.
5. Now we have two simple equations:
1) 100%=31
2) x%=27.75
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%=31/27.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.75 is what percent of 31

100%/x%=31/27.75
(100/x)*x=(31/27.75)*x       - we multiply both sides of the equation by x
100=1.1171171171171*x       - we divide both sides of the equation by (1.1171171171171) to get x
100/1.1171171171171=x
89.516129032258=x
x=89.516129032258

now we have:
27.75 is 89.516129032258% of 31