51.6 is what percent of 1616 - 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 1616 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 1616, so we can write it down as 100%=1616.
4. We know, that x% equals 51.6 of the output value, so we can write it down as x%=51.6.
5. Now we have two simple equations:
1) 100%=1616
2) x%=51.6
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%=1616/51.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51.6 is what percent of 1616

100%/x%=1616/51.6
(100/x)*x=(1616/51.6)*x       - we multiply both sides of the equation by x
100=31.317829457364*x       - we divide both sides of the equation by (31.317829457364) to get x
100/31.317829457364=x
3.1930693069307=x
x=3.1930693069307

now we have:
51.6 is 3.1930693069307% of 1616