73 is what percent of 664 - 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 664 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 664, so we can write it down as 100%=664.
4. We know, that x% equals 73 of the output value, so we can write it down as x%=73.
5. Now we have two simple equations:
1) 100%=664
2) x%=73
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%=664/73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 73 is what percent of 664

100%/x%=664/73
(100/x)*x=(664/73)*x       - we multiply both sides of the equation by x
100=9.0958904109589*x       - we divide both sides of the equation by (9.0958904109589) to get x
100/9.0958904109589=x
10.993975903614=x
x=10.993975903614

now we have:
73 is 10.993975903614% of 664