158.63 is what percent of 348 - 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 348 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 348, so we can write it down as 100%=348.
4. We know, that x% equals 158.63 of the output value, so we can write it down as x%=158.63.
5. Now we have two simple equations:
1) 100%=348
2) x%=158.63
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%=348/158.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 158.63 is what percent of 348

100%/x%=348/158.63
(100/x)*x=(348/158.63)*x       - we multiply both sides of the equation by x
100=2.1937842778793*x       - we divide both sides of the equation by (2.1937842778793) to get x
100/2.1937842778793=x
45.583333333333=x
x=45.583333333333

now we have:
158.63 is 45.583333333333% of 348