What is 36.777142857143 percent of 1.031 - 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 1.031 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 1.031 is 100%, so we can write it down as 1.031=100%.
4. We know, that x is 36.777142857143% of the output value, so we can write it down as x=36.777142857143%.
5. Now we have two simple equations:
1) 1.031=100%
2) x=36.777142857143%
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:
1.031/x=100%/36.777142857143%
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 36.777142857143% of 1.031

1.031/x=100/36.777142857143
(1.031/x)*x=(100/36.777142857143)*x       - we multiply both sides of the equation by x
1.031=2.7190801740211*x       - we divide both sides of the equation by (2.7190801740211) to get x
1.031/2.7190801740211=x
0.37917234285714=x
x=0.37917234285714

now we have:
36.777142857143% of 1.031=0.37917234285714