367.3 is what percent of 900 - 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 900 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 900, so we can write it down as 100%=900.
4. We know, that x% equals 367.3 of the output value, so we can write it down as x%=367.3.
5. Now we have two simple equations:
1) 100%=900
2) x%=367.3
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%=900/367.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 367.3 is what percent of 900

100%/x%=900/367.3
(100/x)*x=(900/367.3)*x       - we multiply both sides of the equation by x
100=2.4503130955622*x       - we divide both sides of the equation by (2.4503130955622) to get x
100/2.4503130955622=x
40.811111111111=x
x=40.811111111111

now we have:
367.3 is 40.811111111111% of 900