What is 19.8 percent of 177 - 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 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 is 100%, so we can write it down as 177=100%.
4. We know, that x is 19.8% of the output value, so we can write it down as x=19.8%.
5. Now we have two simple equations:
1) 177=100%
2) x=19.8%
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/x=100%/19.8%
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 19.8% of 177

177/x=100/19.8
(177/x)*x=(100/19.8)*x       - we multiply both sides of the equation by x
177=5.0505050505051*x       - we divide both sides of the equation by (5.0505050505051) to get x
177/5.0505050505051=x
35.046=x
x=35.046

now we have:
19.8% of 177=35.046