17.8 is what percent of 52 - 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 52 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 52, so we can write it down as 100%=52.
4. We know, that x% equals 17.8 of the output value, so we can write it down as x%=17.8.
5. Now we have two simple equations:
1) 100%=52
2) x%=17.8
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%=52/17.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.8 is what percent of 52

100%/x%=52/17.8
(100/x)*x=(52/17.8)*x       - we multiply both sides of the equation by x
100=2.9213483146067*x       - we divide both sides of the equation by (2.9213483146067) to get x
100/2.9213483146067=x
34.230769230769=x
x=34.230769230769

now we have:
17.8 is 34.230769230769% of 52