148.7 is what percent of 165 - 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 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, so we can write it down as 100%=165.
4. We know, that x% equals 148.7 of the output value, so we can write it down as x%=148.7.
5. Now we have two simple equations:
1) 100%=165
2) x%=148.7
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%=165/148.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 148.7 is what percent of 165

100%/x%=165/148.7
(100/x)*x=(165/148.7)*x       - we multiply both sides of the equation by x
100=1.1096166778749*x       - we divide both sides of the equation by (1.1096166778749) to get x
100/1.1096166778749=x
90.121212121212=x
x=90.121212121212

now we have:
148.7 is 90.121212121212% of 165