What is 9.14 percent of 179.66 - 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 179.66 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 179.66 is 100%, so we can write it down as 179.66=100%.
4. We know, that x is 9.14% of the output value, so we can write it down as x=9.14%.
5. Now we have two simple equations:
1) 179.66=100%
2) x=9.14%
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:
179.66/x=100%/9.14%
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 9.14% of 179.66

179.66/x=100/9.14
(179.66/x)*x=(100/9.14)*x       - we multiply both sides of the equation by x
179.66=10.940919037199*x       - we divide both sides of the equation by (10.940919037199) to get x
179.66/10.940919037199=x
16.420924=x
x=16.420924

now we have:
9.14% of 179.66=16.420924