16.72 is what percent of 269.44 - 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 269.44 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 269.44, so we can write it down as 100%=269.44.
4. We know, that x% equals 16.72 of the output value, so we can write it down as x%=16.72.
5. Now we have two simple equations:
1) 100%=269.44
2) x%=16.72
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%=269.44/16.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.72 is what percent of 269.44

100%/x%=269.44/16.72
(100/x)*x=(269.44/16.72)*x       - we multiply both sides of the equation by x
100=16.114832535885*x       - we divide both sides of the equation by (16.114832535885) to get x
100/16.114832535885=x
6.2054631828979=x
x=6.2054631828979

now we have:
16.72 is 6.2054631828979% of 269.44