16.9 is what percent of 56.45 - 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 56.45 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 56.45, so we can write it down as 100%=56.45.
4. We know, that x% equals 16.9 of the output value, so we can write it down as x%=16.9.
5. Now we have two simple equations:
1) 100%=56.45
2) x%=16.9
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%=56.45/16.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.9 is what percent of 56.45

100%/x%=56.45/16.9
(100/x)*x=(56.45/16.9)*x       - we multiply both sides of the equation by x
100=3.3402366863905*x       - we divide both sides of the equation by (3.3402366863905) to get x
100/3.3402366863905=x
29.937998228521=x
x=29.937998228521

now we have:
16.9 is 29.937998228521% of 56.45