21.4 is what percent of 62.2 - 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 62.2 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 62.2, so we can write it down as 100%=62.2.
4. We know, that x% equals 21.4 of the output value, so we can write it down as x%=21.4.
5. Now we have two simple equations:
1) 100%=62.2
2) x%=21.4
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%=62.2/21.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.4 is what percent of 62.2

100%/x%=62.2/21.4
(100/x)*x=(62.2/21.4)*x       - we multiply both sides of the equation by x
100=2.9065420560748*x       - we divide both sides of the equation by (2.9065420560748) to get x
100/2.9065420560748=x
34.405144694534=x
x=34.405144694534

now we have:
21.4 is 34.405144694534% of 62.2