What is 0.0102 percent of 41.67 - 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 41.67 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 41.67 is 100%, so we can write it down as 41.67=100%.
4. We know, that x is 0.0102% of the output value, so we can write it down as x=0.0102%.
5. Now we have two simple equations:
1) 41.67=100%
2) x=0.0102%
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:
41.67/x=100%/0.0102%
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 0.0102% of 41.67

41.67/x=100/0.0102
(41.67/x)*x=(100/0.0102)*x       - we multiply both sides of the equation by x
41.67=9803.9215686275*x       - we divide both sides of the equation by (9803.9215686275) to get x
41.67/9803.9215686275=x
0.00425034=x
x=0.00425034

now we have:
0.0102% of 41.67=0.00425034