116.07 is what percent of 165.09 - 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 165.09 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 165.09, so we can write it down as 100%=165.09.
4. We know, that x% equals 116.07 of the output value, so we can write it down as x%=116.07.
5. Now we have two simple equations:
1) 100%=165.09
2) x%=116.07
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%=165.09/116.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 116.07 is what percent of 165.09

100%/x%=165.09/116.07
(100/x)*x=(165.09/116.07)*x       - we multiply both sides of the equation by x
100=1.4223313517705*x       - we divide both sides of the equation by (1.4223313517705) to get x
100/1.4223313517705=x
70.307105215337=x
x=70.307105215337

now we have:
116.07 is 70.307105215337% of 165.09