7.5 is what percent of 166.5 - 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 166.5 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 166.5, so we can write it down as 100%=166.5.
4. We know, that x% equals 7.5 of the output value, so we can write it down as x%=7.5.
5. Now we have two simple equations:
1) 100%=166.5
2) x%=7.5
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%=166.5/7.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.5 is what percent of 166.5

100%/x%=166.5/7.5
(100/x)*x=(166.5/7.5)*x       - we multiply both sides of the equation by x
100=22.2*x       - we divide both sides of the equation by (22.2) to get x
100/22.2=x
4.5045045045045=x
x=4.5045045045045

now we have:
7.5 is 4.5045045045045% of 166.5