29.31 is what percent of 58.62 - 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 58.62 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 58.62, so we can write it down as 100%=58.62.
4. We know, that x% equals 29.31 of the output value, so we can write it down as x%=29.31.
5. Now we have two simple equations:
1) 100%=58.62
2) x%=29.31
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%=58.62/29.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.31 is what percent of 58.62

100%/x%=58.62/29.31
(100/x)*x=(58.62/29.31)*x       - we multiply both sides of the equation by x
100=2*x       - we divide both sides of the equation by (2) to get x
100/2=x
50=x
x=50

now we have:
29.31 is 50% of 58.62