30 is what percent of 172.8 - 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 172.8 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 172.8, so we can write it down as 100%=172.8.
4. We know, that x% equals 30 of the output value, so we can write it down as x%=30.
5. Now we have two simple equations:
1) 100%=172.8
2) x%=30
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%=172.8/30
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30 is what percent of 172.8

100%/x%=172.8/30
(100/x)*x=(172.8/30)*x       - we multiply both sides of the equation by x
100=5.76*x       - we divide both sides of the equation by (5.76) to get x
100/5.76=x
17.361111111111=x
x=17.361111111111

now we have:
30 is 17.361111111111% of 172.8