1.49 is what percent of 3.96 - 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 3.96 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 3.96, so we can write it down as 100%=3.96.
4. We know, that x% equals 1.49 of the output value, so we can write it down as x%=1.49.
5. Now we have two simple equations:
1) 100%=3.96
2) x%=1.49
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%=3.96/1.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.49 is what percent of 3.96

100%/x%=3.96/1.49
(100/x)*x=(3.96/1.49)*x       - we multiply both sides of the equation by x
100=2.6577181208054*x       - we divide both sides of the equation by (2.6577181208054) to get x
100/2.6577181208054=x
37.626262626263=x
x=37.626262626263

now we have:
1.49 is 37.626262626263% of 3.96