361.67 is what percent of 5833.33 - 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 5833.33 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 5833.33, so we can write it down as 100%=5833.33.
4. We know, that x% equals 361.67 of the output value, so we can write it down as x%=361.67.
5. Now we have two simple equations:
1) 100%=5833.33
2) x%=361.67
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%=5833.33/361.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 361.67 is what percent of 5833.33

100%/x%=5833.33/361.67
(100/x)*x=(5833.33/361.67)*x       - we multiply both sides of the equation by x
100=16.128874388254*x       - we divide both sides of the equation by (16.128874388254) to get x
100/16.128874388254=x
6.200060685749=x
x=6.200060685749

now we have:
361.67 is 6.200060685749% of 5833.33