3.78 is what percent of 9.23 - 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 9.23 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 9.23, so we can write it down as 100%=9.23.
4. We know, that x% equals 3.78 of the output value, so we can write it down as x%=3.78.
5. Now we have two simple equations:
1) 100%=9.23
2) x%=3.78
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%=9.23/3.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.78 is what percent of 9.23

100%/x%=9.23/3.78
(100/x)*x=(9.23/3.78)*x       - we multiply both sides of the equation by x
100=2.4417989417989*x       - we divide both sides of the equation by (2.4417989417989) to get x
100/2.4417989417989=x
40.953412784399=x
x=40.953412784399

now we have:
3.78 is 40.953412784399% of 9.23