2 is what percent of 3.702 - 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 3.702 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 3.702, so we can write it down as 100%=3.702.
4. We know, that x% equals 2 of the output value, so we can write it down as x%=2.
5. Now we have two simple equations:
1) 100%=3.702
2) x%=2
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%=3.702/2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2 is what percent of 3.702

100%/x%=3.702/2
(100/x)*x=(3.702/2)*x       - we multiply both sides of the equation by x
100=1.851*x       - we divide both sides of the equation by (1.851) to get x
100/1.851=x
54.024851431659=x
x=54.024851431659

now we have:
2 is 54.024851431659% of 3.702