What is 2.072 percent of 83.738 - 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 83.738 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 83.738 is 100%, so we can write it down as 83.738=100%.
4. We know, that x is 2.072% of the output value, so we can write it down as x=2.072%.
5. Now we have two simple equations:
1) 83.738=100%
2) x=2.072%
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:
83.738/x=100%/2.072%
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 2.072% of 83.738

83.738/x=100/2.072
(83.738/x)*x=(100/2.072)*x       - we multiply both sides of the equation by x
83.738=48.262548262548*x       - we divide both sides of the equation by (48.262548262548) to get x
83.738/48.262548262548=x
1.73505136=x
x=1.73505136

now we have:
2.072% of 83.738=1.73505136