What is 84.55 percent of 1.99 - 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 1.99 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 1.99 is 100%, so we can write it down as 1.99=100%.
4. We know, that x is 84.55% of the output value, so we can write it down as x=84.55%.
5. Now we have two simple equations:
1) 1.99=100%
2) x=84.55%
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:
1.99/x=100%/84.55%
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 84.55% of 1.99

1.99/x=100/84.55
(1.99/x)*x=(100/84.55)*x       - we multiply both sides of the equation by x
1.99=1.1827321111768*x       - we divide both sides of the equation by (1.1827321111768) to get x
1.99/1.1827321111768=x
1.682545=x
x=1.682545

now we have:
84.55% of 1.99=1.682545