3.69 is what percent of 73.95 - 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 73.95 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 73.95, so we can write it down as 100%=73.95.
4. We know, that x% equals 3.69 of the output value, so we can write it down as x%=3.69.
5. Now we have two simple equations:
1) 100%=73.95
2) x%=3.69
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%=73.95/3.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.69 is what percent of 73.95

100%/x%=73.95/3.69
(100/x)*x=(73.95/3.69)*x       - we multiply both sides of the equation by x
100=20.040650406504*x       - we divide both sides of the equation by (20.040650406504) to get x
100/20.040650406504=x
4.9898580121704=x
x=4.9898580121704

now we have:
3.69 is 4.9898580121704% of 73.95