20.5 is what percent of 187 - 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 187 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 187, so we can write it down as 100%=187.
4. We know, that x% equals 20.5 of the output value, so we can write it down as x%=20.5.
5. Now we have two simple equations:
1) 100%=187
2) x%=20.5
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%=187/20.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.5 is what percent of 187

100%/x%=187/20.5
(100/x)*x=(187/20.5)*x       - we multiply both sides of the equation by x
100=9.1219512195122*x       - we divide both sides of the equation by (9.1219512195122) to get x
100/9.1219512195122=x
10.96256684492=x
x=10.96256684492

now we have:
20.5 is 10.96256684492% of 187