20 is what percent of 210.42 - 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 210.42 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 210.42, so we can write it down as 100%=210.42.
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%=210.42
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%=210.42/20
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 210.42

100%/x%=210.42/20
(100/x)*x=(210.42/20)*x       - we multiply both sides of the equation by x
100=10.521*x       - we divide both sides of the equation by (10.521) to get x
100/10.521=x
9.5047999239616=x
x=9.5047999239616

now we have:
20 is 9.5047999239616% of 210.42