24.3 is what percent of 148.32 - 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 148.32 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 148.32, so we can write it down as 100%=148.32.
4. We know, that x% equals 24.3 of the output value, so we can write it down as x%=24.3.
5. Now we have two simple equations:
1) 100%=148.32
2) x%=24.3
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%=148.32/24.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.3 is what percent of 148.32

100%/x%=148.32/24.3
(100/x)*x=(148.32/24.3)*x       - we multiply both sides of the equation by x
100=6.1037037037037*x       - we divide both sides of the equation by (6.1037037037037) to get x
100/6.1037037037037=x
16.383495145631=x
x=16.383495145631

now we have:
24.3 is 16.383495145631% of 148.32