73.26 is what percent of 178.85 - 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 178.85 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 178.85, so we can write it down as 100%=178.85.
4. We know, that x% equals 73.26 of the output value, so we can write it down as x%=73.26.
5. Now we have two simple equations:
1) 100%=178.85
2) x%=73.26
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%=178.85/73.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 73.26 is what percent of 178.85

100%/x%=178.85/73.26
(100/x)*x=(178.85/73.26)*x       - we multiply both sides of the equation by x
100=2.4413049413049*x       - we divide both sides of the equation by (2.4413049413049) to get x
100/2.4413049413049=x
40.961699748393=x
x=40.961699748393

now we have:
73.26 is 40.961699748393% of 178.85