21.42 is what percent of 13.857 - 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 13.857 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 13.857, so we can write it down as 100%=13.857.
4. We know, that x% equals 21.42 of the output value, so we can write it down as x%=21.42.
5. Now we have two simple equations:
1) 100%=13.857
2) x%=21.42
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%=13.857/21.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.42 is what percent of 13.857

100%/x%=13.857/21.42
(100/x)*x=(13.857/21.42)*x       - we multiply both sides of the equation by x
100=0.646918767507*x       - we divide both sides of the equation by (0.646918767507) to get x
100/0.646918767507=x
154.57891318467=x
x=154.57891318467

now we have:
21.42 is 154.57891318467% of 13.857