249.99 is what percent of 419.99 - 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 419.99 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 419.99, so we can write it down as 100%=419.99.
4. We know, that x% equals 249.99 of the output value, so we can write it down as x%=249.99.
5. Now we have two simple equations:
1) 100%=419.99
2) x%=249.99
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%=419.99/249.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 249.99 is what percent of 419.99

100%/x%=419.99/249.99
(100/x)*x=(419.99/249.99)*x       - we multiply both sides of the equation by x
100=1.680027201088*x       - we divide both sides of the equation by (1.680027201088) to get x
100/1.680027201088=x
59.522845782042=x
x=59.522845782042

now we have:
249.99 is 59.522845782042% of 419.99