338.4 is what percent of 555.8 - 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 555.8 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 555.8, so we can write it down as 100%=555.8.
4. We know, that x% equals 338.4 of the output value, so we can write it down as x%=338.4.
5. Now we have two simple equations:
1) 100%=555.8
2) x%=338.4
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%=555.8/338.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 338.4 is what percent of 555.8

100%/x%=555.8/338.4
(100/x)*x=(555.8/338.4)*x       - we multiply both sides of the equation by x
100=1.6424349881797*x       - we divide both sides of the equation by (1.6424349881797) to get x
100/1.6424349881797=x
60.885210507377=x
x=60.885210507377

now we have:
338.4 is 60.885210507377% of 555.8