31.5 is what percent of 102.8 - 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 102.8 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 102.8, so we can write it down as 100%=102.8.
4. We know, that x% equals 31.5 of the output value, so we can write it down as x%=31.5.
5. Now we have two simple equations:
1) 100%=102.8
2) x%=31.5
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%=102.8/31.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.5 is what percent of 102.8

100%/x%=102.8/31.5
(100/x)*x=(102.8/31.5)*x       - we multiply both sides of the equation by x
100=3.2634920634921*x       - we divide both sides of the equation by (3.2634920634921) to get x
100/3.2634920634921=x
30.642023346304=x
x=30.642023346304

now we have:
31.5 is 30.642023346304% of 102.8