422.48 is what percent of 497.04 - 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 497.04 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 497.04, so we can write it down as 100%=497.04.
4. We know, that x% equals 422.48 of the output value, so we can write it down as x%=422.48.
5. Now we have two simple equations:
1) 100%=497.04
2) x%=422.48
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%=497.04/422.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 422.48 is what percent of 497.04

100%/x%=497.04/422.48
(100/x)*x=(497.04/422.48)*x       - we multiply both sides of the equation by x
100=1.1764817269457*x       - we divide both sides of the equation by (1.1764817269457) to get x
100/1.1764817269457=x
84.999195235796=x
x=84.999195235796

now we have:
422.48 is 84.999195235796% of 497.04