93.64 is what percent of 309.12 - 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 309.12 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 309.12, so we can write it down as 100%=309.12.
4. We know, that x% equals 93.64 of the output value, so we can write it down as x%=93.64.
5. Now we have two simple equations:
1) 100%=309.12
2) x%=93.64
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%=309.12/93.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 93.64 is what percent of 309.12

100%/x%=309.12/93.64
(100/x)*x=(309.12/93.64)*x       - we multiply both sides of the equation by x
100=3.3011533532678*x       - we divide both sides of the equation by (3.3011533532678) to get x
100/3.3011533532678=x
30.292443064182=x
x=30.292443064182

now we have:
93.64 is 30.292443064182% of 309.12