360.67 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 360.67 of the output value, so we can write it down as x%=360.67.
5. Now we have two simple equations:
1) 100%=732
2) x%=360.67
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%=732/360.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 360.67 is what percent of 732

100%/x%=732/360.67
(100/x)*x=(732/360.67)*x       - we multiply both sides of the equation by x
100=2.0295561039177*x       - we divide both sides of the equation by (2.0295561039177) to get x
100/2.0295561039177=x
49.271857923497=x
x=49.271857923497

now we have:
360.67 is 49.271857923497% of 732