20 is what percent of 497 - 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 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, so we can write it down as 100%=497.
4. We know, that x% equals 20 of the output value, so we can write it down as x%=20.
5. Now we have two simple equations:
1) 100%=497
2) x%=20
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%=497/20
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20 is what percent of 497

100%/x%=497/20
(100/x)*x=(497/20)*x       - we multiply both sides of the equation by x
100=24.85*x       - we divide both sides of the equation by (24.85) to get x
100/24.85=x
4.0241448692153=x
x=4.0241448692153

now we have:
20 is 4.0241448692153% of 497