3.77 is what percent of 31.47 - 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 31.47 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 31.47, so we can write it down as 100%=31.47.
4. We know, that x% equals 3.77 of the output value, so we can write it down as x%=3.77.
5. Now we have two simple equations:
1) 100%=31.47
2) x%=3.77
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%=31.47/3.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.77 is what percent of 31.47

100%/x%=31.47/3.77
(100/x)*x=(31.47/3.77)*x       - we multiply both sides of the equation by x
100=8.3474801061008*x       - we divide both sides of the equation by (8.3474801061008) to get x
100/8.3474801061008=x
11.979663171274=x
x=11.979663171274

now we have:
3.77 is 11.979663171274% of 31.47