3.17 is what percent of 97.984 - 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 97.984 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 97.984, so we can write it down as 100%=97.984.
4. We know, that x% equals 3.17 of the output value, so we can write it down as x%=3.17.
5. Now we have two simple equations:
1) 100%=97.984
2) x%=3.17
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%=97.984/3.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.17 is what percent of 97.984

100%/x%=97.984/3.17
(100/x)*x=(97.984/3.17)*x       - we multiply both sides of the equation by x
100=30.909779179811*x       - we divide both sides of the equation by (30.909779179811) to get x
100/30.909779179811=x
3.2352220770738=x
x=3.2352220770738

now we have:
3.17 is 3.2352220770738% of 97.984