30.3 is what percent of 27.56 - 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 27.56 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 27.56, so we can write it down as 100%=27.56.
4. We know, that x% equals 30.3 of the output value, so we can write it down as x%=30.3.
5. Now we have two simple equations:
1) 100%=27.56
2) x%=30.3
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%=27.56/30.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.3 is what percent of 27.56

100%/x%=27.56/30.3
(100/x)*x=(27.56/30.3)*x       - we multiply both sides of the equation by x
100=0.90957095709571*x       - we divide both sides of the equation by (0.90957095709571) to get x
100/0.90957095709571=x
109.94194484761=x
x=109.94194484761

now we have:
30.3 is 109.94194484761% of 27.56