1.23 is what percent of 3.15 - 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 3.15 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 3.15, so we can write it down as 100%=3.15.
4. We know, that x% equals 1.23 of the output value, so we can write it down as x%=1.23.
5. Now we have two simple equations:
1) 100%=3.15
2) x%=1.23
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%=3.15/1.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.23 is what percent of 3.15

100%/x%=3.15/1.23
(100/x)*x=(3.15/1.23)*x       - we multiply both sides of the equation by x
100=2.5609756097561*x       - we divide both sides of the equation by (2.5609756097561) to get x
100/2.5609756097561=x
39.047619047619=x
x=39.047619047619

now we have:
1.23 is 39.047619047619% of 3.15