4.6 is what percent of 29.5 - 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 29.5 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 29.5, so we can write it down as 100%=29.5.
4. We know, that x% equals 4.6 of the output value, so we can write it down as x%=4.6.
5. Now we have two simple equations:
1) 100%=29.5
2) x%=4.6
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%=29.5/4.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.6 is what percent of 29.5

100%/x%=29.5/4.6
(100/x)*x=(29.5/4.6)*x       - we multiply both sides of the equation by x
100=6.4130434782609*x       - we divide both sides of the equation by (6.4130434782609) to get x
100/6.4130434782609=x
15.593220338983=x
x=15.593220338983

now we have:
4.6 is 15.593220338983% of 29.5