What is 3.769 percent of 179.96 - 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 179.96 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 179.96 is 100%, so we can write it down as 179.96=100%.
4. We know, that x is 3.769% of the output value, so we can write it down as x=3.769%.
5. Now we have two simple equations:
1) 179.96=100%
2) x=3.769%
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:
179.96/x=100%/3.769%
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 3.769% of 179.96

179.96/x=100/3.769
(179.96/x)*x=(100/3.769)*x       - we multiply both sides of the equation by x
179.96=26.532236667551*x       - we divide both sides of the equation by (26.532236667551) to get x
179.96/26.532236667551=x
6.7826924=x
x=6.7826924

now we have:
3.769% of 179.96=6.7826924