10.57 is what percent of 18.27 - 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 18.27 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 18.27, so we can write it down as 100%=18.27.
4. We know, that x% equals 10.57 of the output value, so we can write it down as x%=10.57.
5. Now we have two simple equations:
1) 100%=18.27
2) x%=10.57
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%=18.27/10.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.57 is what percent of 18.27

100%/x%=18.27/10.57
(100/x)*x=(18.27/10.57)*x       - we multiply both sides of the equation by x
100=1.7284768211921*x       - we divide both sides of the equation by (1.7284768211921) to get x
100/1.7284768211921=x
57.854406130268=x
x=57.854406130268

now we have:
10.57 is 57.854406130268% of 18.27