1 is what percent of 21.42 - 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 21.42 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 21.42, so we can write it down as 100%=21.42.
4. We know, that x% equals 1 of the output value, so we can write it down as x%=1.
5. Now we have two simple equations:
1) 100%=21.42
2) x%=1
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%=21.42/1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1 is what percent of 21.42

100%/x%=21.42/1
(100/x)*x=(21.42/1)*x       - we multiply both sides of the equation by x
100=21.42*x       - we divide both sides of the equation by (21.42) to get x
100/21.42=x
4.6685340802988=x
x=4.6685340802988

now we have:
1 is 4.6685340802988% of 21.42