What is 0.1875 percent of 77.84 - 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 77.84 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 77.84 is 100%, so we can write it down as 77.84=100%.
4. We know, that x is 0.1875% of the output value, so we can write it down as x=0.1875%.
5. Now we have two simple equations:
1) 77.84=100%
2) x=0.1875%
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:
77.84/x=100%/0.1875%
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 0.1875% of 77.84

77.84/x=100/0.1875
(77.84/x)*x=(100/0.1875)*x       - we multiply both sides of the equation by x
77.84=533.33333333333*x       - we divide both sides of the equation by (533.33333333333) to get x
77.84/533.33333333333=x
0.14595=x
x=0.14595

now we have:
0.1875% of 77.84=0.14595