3.74 is what percent of 7.74 - 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 7.74 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 7.74, so we can write it down as 100%=7.74.
4. We know, that x% equals 3.74 of the output value, so we can write it down as x%=3.74.
5. Now we have two simple equations:
1) 100%=7.74
2) x%=3.74
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%=7.74/3.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.74 is what percent of 7.74

100%/x%=7.74/3.74
(100/x)*x=(7.74/3.74)*x       - we multiply both sides of the equation by x
100=2.0695187165775*x       - we divide both sides of the equation by (2.0695187165775) to get x
100/2.0695187165775=x
48.320413436693=x
x=48.320413436693

now we have:
3.74 is 48.320413436693% of 7.74