273.3 is what percent of 909.3 - 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 909.3 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 909.3, so we can write it down as 100%=909.3.
4. We know, that x% equals 273.3 of the output value, so we can write it down as x%=273.3.
5. Now we have two simple equations:
1) 100%=909.3
2) x%=273.3
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%=909.3/273.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 273.3 is what percent of 909.3

100%/x%=909.3/273.3
(100/x)*x=(909.3/273.3)*x       - we multiply both sides of the equation by x
100=3.3271130625686*x       - we divide both sides of the equation by (3.3271130625686) to get x
100/3.3271130625686=x
30.056087099967=x
x=30.056087099967

now we have:
273.3 is 30.056087099967% of 909.3