12.75 is what percent of 21.5 - 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 21.5 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 21.5, so we can write it down as 100%=21.5.
4. We know, that x% equals 12.75 of the output value, so we can write it down as x%=12.75.
5. Now we have two simple equations:
1) 100%=21.5
2) x%=12.75
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%=21.5/12.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.75 is what percent of 21.5

100%/x%=21.5/12.75
(100/x)*x=(21.5/12.75)*x       - we multiply both sides of the equation by x
100=1.6862745098039*x       - we divide both sides of the equation by (1.6862745098039) to get x
100/1.6862745098039=x
59.302325581395=x
x=59.302325581395

now we have:
12.75 is 59.302325581395% of 21.5