14.74 is what percent of 58.96 - 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 58.96 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 58.96, so we can write it down as 100%=58.96.
4. We know, that x% equals 14.74 of the output value, so we can write it down as x%=14.74.
5. Now we have two simple equations:
1) 100%=58.96
2) x%=14.74
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%=58.96/14.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.74 is what percent of 58.96

100%/x%=58.96/14.74
(100/x)*x=(58.96/14.74)*x       - we multiply both sides of the equation by x
100=4*x       - we divide both sides of the equation by (4) to get x
100/4=x
25=x
x=25

now we have:
14.74 is 25% of 58.96