1.85 is what percent of 48.79 - 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 48.79 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 48.79, so we can write it down as 100%=48.79.
4. We know, that x% equals 1.85 of the output value, so we can write it down as x%=1.85.
5. Now we have two simple equations:
1) 100%=48.79
2) x%=1.85
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%=48.79/1.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.85 is what percent of 48.79

100%/x%=48.79/1.85
(100/x)*x=(48.79/1.85)*x       - we multiply both sides of the equation by x
100=26.372972972973*x       - we divide both sides of the equation by (26.372972972973) to get x
100/26.372972972973=x
3.7917606066817=x
x=3.7917606066817

now we have:
1.85 is 3.7917606066817% of 48.79