38 is what percent of 3.123 - 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 3.123 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 3.123, so we can write it down as 100%=3.123.
4. We know, that x% equals 38 of the output value, so we can write it down as x%=38.
5. Now we have two simple equations:
1) 100%=3.123
2) x%=38
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%=3.123/38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38 is what percent of 3.123

100%/x%=3.123/38
(100/x)*x=(3.123/38)*x       - we multiply both sides of the equation by x
100=0.082184210526316*x       - we divide both sides of the equation by (0.082184210526316) to get x
100/0.082184210526316=x
1216.7787383926=x
x=1216.7787383926

now we have:
38 is 1216.7787383926% of 3.123