405.99 is what percent of 450.98 - 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 450.98 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 450.98, so we can write it down as 100%=450.98.
4. We know, that x% equals 405.99 of the output value, so we can write it down as x%=405.99.
5. Now we have two simple equations:
1) 100%=450.98
2) x%=405.99
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%=450.98/405.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 405.99 is what percent of 450.98

100%/x%=450.98/405.99
(100/x)*x=(450.98/405.99)*x       - we multiply both sides of the equation by x
100=1.1108155373285*x       - we divide both sides of the equation by (1.1108155373285) to get x
100/1.1108155373285=x
90.023947846911=x
x=90.023947846911

now we have:
405.99 is 90.023947846911% of 450.98