42.5 is what percent of 154.58 - 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 154.58 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 154.58, so we can write it down as 100%=154.58.
4. We know, that x% equals 42.5 of the output value, so we can write it down as x%=42.5.
5. Now we have two simple equations:
1) 100%=154.58
2) x%=42.5
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%=154.58/42.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.5 is what percent of 154.58

100%/x%=154.58/42.5
(100/x)*x=(154.58/42.5)*x       - we multiply both sides of the equation by x
100=3.6371764705882*x       - we divide both sides of the equation by (3.6371764705882) to get x
100/3.6371764705882=x
27.493854314918=x
x=27.493854314918

now we have:
42.5 is 27.493854314918% of 154.58