397.94 is what percent of 415.94 - 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 415.94 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 415.94, so we can write it down as 100%=415.94.
4. We know, that x% equals 397.94 of the output value, so we can write it down as x%=397.94.
5. Now we have two simple equations:
1) 100%=415.94
2) x%=397.94
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%=415.94/397.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 397.94 is what percent of 415.94

100%/x%=415.94/397.94
(100/x)*x=(415.94/397.94)*x       - we multiply both sides of the equation by x
100=1.0452329496909*x       - we divide both sides of the equation by (1.0452329496909) to get x
100/1.0452329496909=x
95.672452757609=x
x=95.672452757609

now we have:
397.94 is 95.672452757609% of 415.94