98 is what percent of 449.95 - 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 449.95 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 449.95, so we can write it down as 100%=449.95.
4. We know, that x% equals 98 of the output value, so we can write it down as x%=98.
5. Now we have two simple equations:
1) 100%=449.95
2) x%=98
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%=449.95/98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 98 is what percent of 449.95

100%/x%=449.95/98
(100/x)*x=(449.95/98)*x       - we multiply both sides of the equation by x
100=4.5913265306122*x       - we divide both sides of the equation by (4.5913265306122) to get x
100/4.5913265306122=x
21.780197799756=x
x=21.780197799756

now we have:
98 is 21.780197799756% of 449.95