What is 30.6 percent of 1.138 - 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 1.138 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 1.138 is 100%, so we can write it down as 1.138=100%.
4. We know, that x is 30.6% of the output value, so we can write it down as x=30.6%.
5. Now we have two simple equations:
1) 1.138=100%
2) x=30.6%
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:
1.138/x=100%/30.6%
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 30.6% of 1.138

1.138/x=100/30.6
(1.138/x)*x=(100/30.6)*x       - we multiply both sides of the equation by x
1.138=3.2679738562092*x       - we divide both sides of the equation by (3.2679738562092) to get x
1.138/3.2679738562092=x
0.348228=x
x=0.348228

now we have:
30.6% of 1.138=0.348228