349.99 is what percent of 459.99 - 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 459.99 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 459.99, so we can write it down as 100%=459.99.
4. We know, that x% equals 349.99 of the output value, so we can write it down as x%=349.99.
5. Now we have two simple equations:
1) 100%=459.99
2) x%=349.99
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%=459.99/349.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 349.99 is what percent of 459.99

100%/x%=459.99/349.99
(100/x)*x=(459.99/349.99)*x       - we multiply both sides of the equation by x
100=1.3142946941341*x       - we divide both sides of the equation by (1.3142946941341) to get x
100/1.3142946941341=x
76.086436661667=x
x=76.086436661667

now we have:
349.99 is 76.086436661667% of 459.99