What is 2.018 percent of 40.102 - 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 40.102 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 40.102 is 100%, so we can write it down as 40.102=100%.
4. We know, that x is 2.018% of the output value, so we can write it down as x=2.018%.
5. Now we have two simple equations:
1) 40.102=100%
2) x=2.018%
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:
40.102/x=100%/2.018%
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 2.018% of 40.102

40.102/x=100/2.018
(40.102/x)*x=(100/2.018)*x       - we multiply both sides of the equation by x
40.102=49.554013875124*x       - we divide both sides of the equation by (49.554013875124) to get x
40.102/49.554013875124=x
0.80925836=x
x=0.80925836

now we have:
2.018% of 40.102=0.80925836