1.6 is what percent of 3.77 - 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 3.77 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 3.77, so we can write it down as 100%=3.77.
4. We know, that x% equals 1.6 of the output value, so we can write it down as x%=1.6.
5. Now we have two simple equations:
1) 100%=3.77
2) x%=1.6
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%=3.77/1.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.6 is what percent of 3.77

100%/x%=3.77/1.6
(100/x)*x=(3.77/1.6)*x       - we multiply both sides of the equation by x
100=2.35625*x       - we divide both sides of the equation by (2.35625) to get x
100/2.35625=x
42.440318302387=x
x=42.440318302387

now we have:
1.6 is 42.440318302387% of 3.77