5.1 is what percent of 165.5 - 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 165.5 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 165.5, so we can write it down as 100%=165.5.
4. We know, that x% equals 5.1 of the output value, so we can write it down as x%=5.1.
5. Now we have two simple equations:
1) 100%=165.5
2) x%=5.1
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%=165.5/5.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.1 is what percent of 165.5

100%/x%=165.5/5.1
(100/x)*x=(165.5/5.1)*x       - we multiply both sides of the equation by x
100=32.450980392157*x       - we divide both sides of the equation by (32.450980392157) to get x
100/32.450980392157=x
3.0815709969789=x
x=3.0815709969789

now we have:
5.1 is 3.0815709969789% of 165.5