What is 3.6 percent of 177.296 - 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 177.296 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 177.296 is 100%, so we can write it down as 177.296=100%.
4. We know, that x is 3.6% of the output value, so we can write it down as x=3.6%.
5. Now we have two simple equations:
1) 177.296=100%
2) x=3.6%
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:
177.296/x=100%/3.6%
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 3.6% of 177.296

177.296/x=100/3.6
(177.296/x)*x=(100/3.6)*x       - we multiply both sides of the equation by x
177.296=27.777777777778*x       - we divide both sides of the equation by (27.777777777778) to get x
177.296/27.777777777778=x
6.382656=x
x=6.382656

now we have:
3.6% of 177.296=6.382656