What is 1.618 percent of 1.82 - 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 1.82 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 1.82 is 100%, so we can write it down as 1.82=100%.
4. We know, that x is 1.618% of the output value, so we can write it down as x=1.618%.
5. Now we have two simple equations:
1) 1.82=100%
2) x=1.618%
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:
1.82/x=100%/1.618%
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 1.618% of 1.82

1.82/x=100/1.618
(1.82/x)*x=(100/1.618)*x       - we multiply both sides of the equation by x
1.82=61.804697156984*x       - we divide both sides of the equation by (61.804697156984) to get x
1.82/61.804697156984=x
0.0294476=x
x=0.0294476

now we have:
1.618% of 1.82=0.0294476