51.54 is what percent of 16.34 - 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 16.34 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 16.34, so we can write it down as 100%=16.34.
4. We know, that x% equals 51.54 of the output value, so we can write it down as x%=51.54.
5. Now we have two simple equations:
1) 100%=16.34
2) x%=51.54
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%=16.34/51.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51.54 is what percent of 16.34

100%/x%=16.34/51.54
(100/x)*x=(16.34/51.54)*x       - we multiply both sides of the equation by x
100=0.31703531237873*x       - we divide both sides of the equation by (0.31703531237873) to get x
100/0.31703531237873=x
315.42227662179=x
x=315.42227662179

now we have:
51.54 is 315.42227662179% of 16.34