36.83 is what percent of 732 - 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 732 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 732, so we can write it down as 100%=732.
4. We know, that x% equals 36.83 of the output value, so we can write it down as x%=36.83.
5. Now we have two simple equations:
1) 100%=732
2) x%=36.83
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%=732/36.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.83 is what percent of 732

100%/x%=732/36.83
(100/x)*x=(732/36.83)*x       - we multiply both sides of the equation by x
100=19.875101819169*x       - we divide both sides of the equation by (19.875101819169) to get x
100/19.875101819169=x
5.0314207650273=x
x=5.0314207650273

now we have:
36.83 is 5.0314207650273% of 732