31.95 is what percent of 176.95 - 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 176.95 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 176.95, so we can write it down as 100%=176.95.
4. We know, that x% equals 31.95 of the output value, so we can write it down as x%=31.95.
5. Now we have two simple equations:
1) 100%=176.95
2) x%=31.95
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%=176.95/31.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.95 is what percent of 176.95

100%/x%=176.95/31.95
(100/x)*x=(176.95/31.95)*x       - we multiply both sides of the equation by x
100=5.5383411580595*x       - we divide both sides of the equation by (5.5383411580595) to get x
100/5.5383411580595=x
18.055948007912=x
x=18.055948007912

now we have:
31.95 is 18.055948007912% of 176.95