449.99 is what percent of 349.99 - 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 349.99 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 349.99, so we can write it down as 100%=349.99.
4. We know, that x% equals 449.99 of the output value, so we can write it down as x%=449.99.
5. Now we have two simple equations:
1) 100%=349.99
2) x%=449.99
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%=349.99/449.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 449.99 is what percent of 349.99

100%/x%=349.99/449.99
(100/x)*x=(349.99/449.99)*x       - we multiply both sides of the equation by x
100=0.77777283939643*x       - we divide both sides of the equation by (0.77777283939643) to get x
100/0.77777283939643=x
128.57224492128=x
x=128.57224492128

now we have:
449.99 is 128.57224492128% of 349.99