40.4 is what percent of 158.02 - 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 158.02 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 158.02, so we can write it down as 100%=158.02.
4. We know, that x% equals 40.4 of the output value, so we can write it down as x%=40.4.
5. Now we have two simple equations:
1) 100%=158.02
2) x%=40.4
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%=158.02/40.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.4 is what percent of 158.02

100%/x%=158.02/40.4
(100/x)*x=(158.02/40.4)*x       - we multiply both sides of the equation by x
100=3.9113861386139*x       - we divide both sides of the equation by (3.9113861386139) to get x
100/3.9113861386139=x
25.566384002025=x
x=25.566384002025

now we have:
40.4 is 25.566384002025% of 158.02