449.99 is what percent of 7749.99 - 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 7749.99 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 7749.99, so we can write it down as 100%=7749.99.
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%=7749.99
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%=7749.99/449.99
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 7749.99

100%/x%=7749.99/449.99
(100/x)*x=(7749.99/449.99)*x       - we multiply both sides of the equation by x
100=17.222582724061*x       - we divide both sides of the equation by (17.222582724061) to get x
100/17.222582724061=x
5.806330072684=x
x=5.806330072684

now we have:
449.99 is 5.806330072684% of 7749.99