105.76 is what percent of 1704.55 - 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 1704.55 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 1704.55, so we can write it down as 100%=1704.55.
4. We know, that x% equals 105.76 of the output value, so we can write it down as x%=105.76.
5. Now we have two simple equations:
1) 100%=1704.55
2) x%=105.76
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%=1704.55/105.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 105.76 is what percent of 1704.55

100%/x%=1704.55/105.76
(100/x)*x=(1704.55/105.76)*x       - we multiply both sides of the equation by x
100=16.11715204236*x       - we divide both sides of the equation by (16.11715204236) to get x
100/16.11715204236=x
6.2045701211463=x
x=6.2045701211463

now we have:
105.76 is 6.2045701211463% of 1704.55