42.37 is what percent of 158 - 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 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, so we can write it down as 100%=158.
4. We know, that x% equals 42.37 of the output value, so we can write it down as x%=42.37.
5. Now we have two simple equations:
1) 100%=158
2) x%=42.37
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%=158/42.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.37 is what percent of 158

100%/x%=158/42.37
(100/x)*x=(158/42.37)*x       - we multiply both sides of the equation by x
100=3.7290535756431*x       - we divide both sides of the equation by (3.7290535756431) to get x
100/3.7290535756431=x
26.816455696203=x
x=26.816455696203

now we have:
42.37 is 26.816455696203% of 158