What is 2.125 percent of 0.01275 - 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 0.01275 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 0.01275 is 100%, so we can write it down as 0.01275=100%.
4. We know, that x is 2.125% of the output value, so we can write it down as x=2.125%.
5. Now we have two simple equations:
1) 0.01275=100%
2) x=2.125%
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:
0.01275/x=100%/2.125%
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 2.125% of 0.01275

0.01275/x=100/2.125
(0.01275/x)*x=(100/2.125)*x       - we multiply both sides of the equation by x
0.01275=47.058823529412*x       - we divide both sides of the equation by (47.058823529412) to get x
0.01275/47.058823529412=x
0.0002709375=x
x=0.0002709375

now we have:
2.125% of 0.01275=0.0002709375