59.2 is what percent of 338 - 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 338 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 338, so we can write it down as 100%=338.
4. We know, that x% equals 59.2 of the output value, so we can write it down as x%=59.2.
5. Now we have two simple equations:
1) 100%=338
2) x%=59.2
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%=338/59.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 59.2 is what percent of 338

100%/x%=338/59.2
(100/x)*x=(338/59.2)*x       - we multiply both sides of the equation by x
100=5.7094594594595*x       - we divide both sides of the equation by (5.7094594594595) to get x
100/5.7094594594595=x
17.514792899408=x
x=17.514792899408

now we have:
59.2 is 17.514792899408% of 338