5.06 is what percent of 185 - 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 185 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 185, so we can write it down as 100%=185.
4. We know, that x% equals 5.06 of the output value, so we can write it down as x%=5.06.
5. Now we have two simple equations:
1) 100%=185
2) x%=5.06
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%=185/5.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.06 is what percent of 185

100%/x%=185/5.06
(100/x)*x=(185/5.06)*x       - we multiply both sides of the equation by x
100=36.561264822134*x       - we divide both sides of the equation by (36.561264822134) to get x
100/36.561264822134=x
2.7351351351351=x
x=2.7351351351351

now we have:
5.06 is 2.7351351351351% of 185