6.5 is what percent of 161.75 - 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 161.75 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 161.75, so we can write it down as 100%=161.75.
4. We know, that x% equals 6.5 of the output value, so we can write it down as x%=6.5.
5. Now we have two simple equations:
1) 100%=161.75
2) x%=6.5
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%=161.75/6.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.5 is what percent of 161.75

100%/x%=161.75/6.5
(100/x)*x=(161.75/6.5)*x       - we multiply both sides of the equation by x
100=24.884615384615*x       - we divide both sides of the equation by (24.884615384615) to get x
100/24.884615384615=x
4.0185471406491=x
x=4.0185471406491

now we have:
6.5 is 4.0185471406491% of 161.75