415.84 is what percent of 1727.94 - 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 1727.94 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 1727.94, so we can write it down as 100%=1727.94.
4. We know, that x% equals 415.84 of the output value, so we can write it down as x%=415.84.
5. Now we have two simple equations:
1) 100%=1727.94
2) x%=415.84
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%=1727.94/415.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 415.84 is what percent of 1727.94

100%/x%=1727.94/415.84
(100/x)*x=(1727.94/415.84)*x       - we multiply both sides of the equation by x
100=4.155300115429*x       - we divide both sides of the equation by (4.155300115429) to get x
100/4.155300115429=x
24.065650427677=x
x=24.065650427677

now we have:
415.84 is 24.065650427677% of 1727.94