18.33 is what percent of 62.8 - 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 62.8 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 62.8, so we can write it down as 100%=62.8.
4. We know, that x% equals 18.33 of the output value, so we can write it down as x%=18.33.
5. Now we have two simple equations:
1) 100%=62.8
2) x%=18.33
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%=62.8/18.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.33 is what percent of 62.8

100%/x%=62.8/18.33
(100/x)*x=(62.8/18.33)*x       - we multiply both sides of the equation by x
100=3.4260774686307*x       - we divide both sides of the equation by (3.4260774686307) to get x
100/3.4260774686307=x
29.187898089172=x
x=29.187898089172

now we have:
18.33 is 29.187898089172% of 62.8