What is 2.1 percent of 1677.36 - 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 1677.36 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 1677.36 is 100%, so we can write it down as 1677.36=100%.
4. We know, that x is 2.1% of the output value, so we can write it down as x=2.1%.
5. Now we have two simple equations:
1) 1677.36=100%
2) x=2.1%
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:
1677.36/x=100%/2.1%
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 2.1% of 1677.36

1677.36/x=100/2.1
(1677.36/x)*x=(100/2.1)*x       - we multiply both sides of the equation by x
1677.36=47.619047619048*x       - we divide both sides of the equation by (47.619047619048) to get x
1677.36/47.619047619048=x
35.22456=x
x=35.22456

now we have:
2.1% of 1677.36=35.22456