3.5 is what percent of 109.61 - 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 109.61 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 109.61, so we can write it down as 100%=109.61.
4. We know, that x% equals 3.5 of the output value, so we can write it down as x%=3.5.
5. Now we have two simple equations:
1) 100%=109.61
2) x%=3.5
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%=109.61/3.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.5 is what percent of 109.61

100%/x%=109.61/3.5
(100/x)*x=(109.61/3.5)*x       - we multiply both sides of the equation by x
100=31.317142857143*x       - we divide both sides of the equation by (31.317142857143) to get x
100/31.317142857143=x
3.1931393121066=x
x=3.1931393121066

now we have:
3.5 is 3.1931393121066% of 109.61