16.75 is what percent of 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 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 56, so we can write it down as 100%=56.
4. We know, that x% equals 16.75 of the output value, so we can write it down as x%=16.75.
5. Now we have two simple equations:
1) 100%=56
2) x%=16.75
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%=56/16.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.75 is what percent of 56

100%/x%=56/16.75
(100/x)*x=(56/16.75)*x       - we multiply both sides of the equation by x
100=3.34328358209*x       - we divide both sides of the equation by (3.34328358209) to get x
100/3.34328358209=x
29.9107142857=x
x=29.9107142857

now we have:
16.75 is 29.9107142857% of 56