135.49 is what percent of 162.99 - 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 162.99 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 162.99, so we can write it down as 100%=162.99.
4. We know, that x% equals 135.49 of the output value, so we can write it down as x%=135.49.
5. Now we have two simple equations:
1) 100%=162.99
2) x%=135.49
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%=162.99/135.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 135.49 is what percent of 162.99

100%/x%=162.99/135.49
(100/x)*x=(162.99/135.49)*x       - we multiply both sides of the equation by x
100=1.2029670086353*x       - we divide both sides of the equation by (1.2029670086353) to get x
100/1.2029670086353=x
83.127799251488=x
x=83.127799251488

now we have:
135.49 is 83.127799251488% of 162.99