305.78 is what percent of 414.07 - 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 414.07 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 414.07, so we can write it down as 100%=414.07.
4. We know, that x% equals 305.78 of the output value, so we can write it down as x%=305.78.
5. Now we have two simple equations:
1) 100%=414.07
2) x%=305.78
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%=414.07/305.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 305.78 is what percent of 414.07

100%/x%=414.07/305.78
(100/x)*x=(414.07/305.78)*x       - we multiply both sides of the equation by x
100=1.3541435018641*x       - we divide both sides of the equation by (1.3541435018641) to get x
100/1.3541435018641=x
73.847417103388=x
x=73.847417103388

now we have:
305.78 is 73.847417103388% of 414.07