3.75 is what percent of 387.36 - 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 387.36 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 387.36, so we can write it down as 100%=387.36.
4. We know, that x% equals 3.75 of the output value, so we can write it down as x%=3.75.
5. Now we have two simple equations:
1) 100%=387.36
2) x%=3.75
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%=387.36/3.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.75 is what percent of 387.36

100%/x%=387.36/3.75
(100/x)*x=(387.36/3.75)*x       - we multiply both sides of the equation by x
100=103.296*x       - we divide both sides of the equation by (103.296) to get x
100/103.296=x
0.9680916976456=x
x=0.9680916976456

now we have:
3.75 is 0.9680916976456% of 387.36