28.93 is what percent of 189.6 - 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 189.6 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 189.6, so we can write it down as 100%=189.6.
4. We know, that x% equals 28.93 of the output value, so we can write it down as x%=28.93.
5. Now we have two simple equations:
1) 100%=189.6
2) x%=28.93
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%=189.6/28.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.93 is what percent of 189.6

100%/x%=189.6/28.93
(100/x)*x=(189.6/28.93)*x       - we multiply both sides of the equation by x
100=6.5537504320774*x       - we divide both sides of the equation by (6.5537504320774) to get x
100/6.5537504320774=x
15.258438818565=x
x=15.258438818565

now we have:
28.93 is 15.258438818565% of 189.6