72.99 is what percent of 169 - 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 169 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 169, so we can write it down as 100%=169.
4. We know, that x% equals 72.99 of the output value, so we can write it down as x%=72.99.
5. Now we have two simple equations:
1) 100%=169
2) x%=72.99
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%=169/72.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 72.99 is what percent of 169

100%/x%=169/72.99
(100/x)*x=(169/72.99)*x       - we multiply both sides of the equation by x
100=2.3153856692698*x       - we divide both sides of the equation by (2.3153856692698) to get x
100/2.3153856692698=x
43.189349112426=x
x=43.189349112426

now we have:
72.99 is 43.189349112426% of 169