129.99 is what percent of 165.96 - 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 165.96 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 165.96, so we can write it down as 100%=165.96.
4. We know, that x% equals 129.99 of the output value, so we can write it down as x%=129.99.
5. Now we have two simple equations:
1) 100%=165.96
2) x%=129.99
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%=165.96/129.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 129.99 is what percent of 165.96

100%/x%=165.96/129.99
(100/x)*x=(165.96/129.99)*x       - we multiply both sides of the equation by x
100=1.2767135933533*x       - we divide both sides of the equation by (1.2767135933533) to get x
100/1.2767135933533=x
78.326102675343=x
x=78.326102675343

now we have:
129.99 is 78.326102675343% of 165.96