31.12 is what percent of 195 - 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 195 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 195, so we can write it down as 100%=195.
4. We know, that x% equals 31.12 of the output value, so we can write it down as x%=31.12.
5. Now we have two simple equations:
1) 100%=195
2) x%=31.12
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%=195/31.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.12 is what percent of 195

100%/x%=195/31.12
(100/x)*x=(195/31.12)*x       - we multiply both sides of the equation by x
100=6.2660668380463*x       - we divide both sides of the equation by (6.2660668380463) to get x
100/6.2660668380463=x
15.958974358974=x
x=15.958974358974

now we have:
31.12 is 15.958974358974% of 195