What is 38.852 percent of 1.235 - 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 1.235 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 1.235 is 100%, so we can write it down as 1.235=100%.
4. We know, that x is 38.852% of the output value, so we can write it down as x=38.852%.
5. Now we have two simple equations:
1) 1.235=100%
2) x=38.852%
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:
1.235/x=100%/38.852%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 38.852% of 1.235

1.235/x=100/38.852
(1.235/x)*x=(100/38.852)*x       - we multiply both sides of the equation by x
1.235=2.5738700710388*x       - we divide both sides of the equation by (2.5738700710388) to get x
1.235/2.5738700710388=x
0.4798222=x
x=0.4798222

now we have:
38.852% of 1.235=0.4798222