299.95 is what percent of 449.95 - 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 449.95 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 449.95, so we can write it down as 100%=449.95.
4. We know, that x% equals 299.95 of the output value, so we can write it down as x%=299.95.
5. Now we have two simple equations:
1) 100%=449.95
2) x%=299.95
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%=449.95/299.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 299.95 is what percent of 449.95

100%/x%=449.95/299.95
(100/x)*x=(449.95/299.95)*x       - we multiply both sides of the equation by x
100=1.5000833472245*x       - we divide both sides of the equation by (1.5000833472245) to get x
100/1.5000833472245=x
66.662962551395=x
x=66.662962551395

now we have:
299.95 is 66.662962551395% of 449.95