28 is what percent of 173.7 - 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 173.7 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 100% equals 173.7, so we can write it down as 100%=173.7.
4. We know, that x% equals 28 of the output value, so we can write it down as x%=28.
5. Now we have two simple equations:
1) 100%=173.7
2) x%=28
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:
100%/x%=173.7/28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28 is what percent of 173.7

100%/x%=173.7/28
(100/x)*x=(173.7/28)*x       - we multiply both sides of the equation by x
100=6.2035714285714*x       - we divide both sides of the equation by (6.2035714285714) to get x
100/6.2035714285714=x
16.119746689695=x
x=16.119746689695

now we have:
28 is 16.119746689695% of 173.7