4.49 is what percent of 4.99 - 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 4.99 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 4.99, so we can write it down as 100%=4.99.
4. We know, that x% equals 4.49 of the output value, so we can write it down as x%=4.49.
5. Now we have two simple equations:
1) 100%=4.99
2) x%=4.49
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%=4.99/4.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.49 is what percent of 4.99

100%/x%=4.99/4.49
(100/x)*x=(4.99/4.49)*x       - we multiply both sides of the equation by x
100=1.1113585746102*x       - we divide both sides of the equation by (1.1113585746102) to get x
100/1.1113585746102=x
89.97995991984=x
x=89.97995991984

now we have:
4.49 is 89.97995991984% of 4.99