20 is what percent of 3.73 - 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 3.73 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 3.73, so we can write it down as 100%=3.73.
4. We know, that x% equals 20 of the output value, so we can write it down as x%=20.
5. Now we have two simple equations:
1) 100%=3.73
2) x%=20
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%=3.73/20
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20 is what percent of 3.73

100%/x%=3.73/20
(100/x)*x=(3.73/20)*x       - we multiply both sides of the equation by x
100=0.1865*x       - we divide both sides of the equation by (0.1865) to get x
100/0.1865=x
536.19302949062=x
x=536.19302949062

now we have:
20 is 536.19302949062% of 3.73