51.2 is what percent of 17.6 - 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 17.6 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 17.6, so we can write it down as 100%=17.6.
4. We know, that x% equals 51.2 of the output value, so we can write it down as x%=51.2.
5. Now we have two simple equations:
1) 100%=17.6
2) x%=51.2
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%=17.6/51.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51.2 is what percent of 17.6

100%/x%=17.6/51.2
(100/x)*x=(17.6/51.2)*x       - we multiply both sides of the equation by x
100=0.34375*x       - we divide both sides of the equation by (0.34375) to get x
100/0.34375=x
290.90909090909=x
x=290.90909090909

now we have:
51.2 is 290.90909090909% of 17.6