21.75 is what percent of 180 - 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 180 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 180, so we can write it down as 100%=180.
4. We know, that x% equals 21.75 of the output value, so we can write it down as x%=21.75.
5. Now we have two simple equations:
1) 100%=180
2) x%=21.75
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%=180/21.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.75 is what percent of 180

100%/x%=180/21.75
(100/x)*x=(180/21.75)*x       - we multiply both sides of the equation by x
100=8.2758620689655*x       - we divide both sides of the equation by (8.2758620689655) to get x
100/8.2758620689655=x
12.083333333333=x
x=12.083333333333

now we have:
21.75 is 12.083333333333% of 180