239.58 is what percent of 384.62 - 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 384.62 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 384.62, so we can write it down as 100%=384.62.
4. We know, that x% equals 239.58 of the output value, so we can write it down as x%=239.58.
5. Now we have two simple equations:
1) 100%=384.62
2) x%=239.58
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%=384.62/239.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 239.58 is what percent of 384.62

100%/x%=384.62/239.58
(100/x)*x=(384.62/239.58)*x       - we multiply both sides of the equation by x
100=1.605392770682*x       - we divide both sides of the equation by (1.605392770682) to get x
100/1.605392770682=x
62.29005251937=x
x=62.29005251937

now we have:
239.58 is 62.29005251937% of 384.62