562.49 is what percent of 449.99 - 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 449.99 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 449.99, so we can write it down as 100%=449.99.
4. We know, that x% equals 562.49 of the output value, so we can write it down as x%=562.49.
5. Now we have two simple equations:
1) 100%=449.99
2) x%=562.49
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%=449.99/562.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 562.49 is what percent of 449.99

100%/x%=449.99/562.49
(100/x)*x=(449.99/562.49)*x       - we multiply both sides of the equation by x
100=0.79999644438123*x       - we divide both sides of the equation by (0.79999644438123) to get x
100/0.79999644438123=x
125.0005555679=x
x=125.0005555679

now we have:
562.49 is 125.0005555679% of 449.99