413.7 is what percent of 357 - 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 357 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 357, so we can write it down as 100%=357.
4. We know, that x% equals 413.7 of the output value, so we can write it down as x%=413.7.
5. Now we have two simple equations:
1) 100%=357
2) x%=413.7
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%=357/413.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 413.7 is what percent of 357

100%/x%=357/413.7
(100/x)*x=(357/413.7)*x       - we multiply both sides of the equation by x
100=0.86294416243655*x       - we divide both sides of the equation by (0.86294416243655) to get x
100/0.86294416243655=x
115.88235294118=x
x=115.88235294118

now we have:
413.7 is 115.88235294118% of 357