116.3 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 116.3 of the output value, so we can write it down as x%=116.3.
5. Now we have two simple equations:
1) 100%=165
2) x%=116.3
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%=165/116.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 116.3 is what percent of 165

100%/x%=165/116.3
(100/x)*x=(165/116.3)*x       - we multiply both sides of the equation by x
100=1.4187446259673*x       - we divide both sides of the equation by (1.4187446259673) to get x
100/1.4187446259673=x
70.484848484848=x
x=70.484848484848

now we have:
116.3 is 70.484848484848% of 165