27.72 is what percent of 299.94 - 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 299.94 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 299.94, so we can write it down as 100%=299.94.
4. We know, that x% equals 27.72 of the output value, so we can write it down as x%=27.72.
5. Now we have two simple equations:
1) 100%=299.94
2) x%=27.72
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%=299.94/27.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.72 is what percent of 299.94

100%/x%=299.94/27.72
(100/x)*x=(299.94/27.72)*x       - we multiply both sides of the equation by x
100=10.820346320346*x       - we divide both sides of the equation by (10.820346320346) to get x
100/10.820346320346=x
9.2418483696739=x
x=9.2418483696739

now we have:
27.72 is 9.2418483696739% of 299.94