258.14 is what percent of 171.43 - 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 171.43 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 171.43, so we can write it down as 100%=171.43.
4. We know, that x% equals 258.14 of the output value, so we can write it down as x%=258.14.
5. Now we have two simple equations:
1) 100%=171.43
2) x%=258.14
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%=171.43/258.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 258.14 is what percent of 171.43

100%/x%=171.43/258.14
(100/x)*x=(171.43/258.14)*x       - we multiply both sides of the equation by x
100=0.66409700162702*x       - we divide both sides of the equation by (0.66409700162702) to get x
100/0.66409700162702=x
150.5804118299=x
x=150.5804118299

now we have:
258.14 is 150.5804118299% of 171.43