31.55 is what percent of 475 - 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 475 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 475, so we can write it down as 100%=475.
4. We know, that x% equals 31.55 of the output value, so we can write it down as x%=31.55.
5. Now we have two simple equations:
1) 100%=475
2) x%=31.55
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%=475/31.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.55 is what percent of 475

100%/x%=475/31.55
(100/x)*x=(475/31.55)*x       - we multiply both sides of the equation by x
100=15.055467511886*x       - we divide both sides of the equation by (15.055467511886) to get x
100/15.055467511886=x
6.6421052631579=x
x=6.6421052631579

now we have:
31.55 is 6.6421052631579% of 475