171.37 is what percent of 512 - 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 512 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 512, so we can write it down as 100%=512.
4. We know, that x% equals 171.37 of the output value, so we can write it down as x%=171.37.
5. Now we have two simple equations:
1) 100%=512
2) x%=171.37
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%=512/171.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 171.37 is what percent of 512

100%/x%=512/171.37
(100/x)*x=(512/171.37)*x       - we multiply both sides of the equation by x
100=2.9876874598821*x       - we divide both sides of the equation by (2.9876874598821) to get x
100/2.9876874598821=x
33.470703125=x
x=33.470703125

now we have:
171.37 is 33.470703125% of 512