14.2 is what percent of 38.3 - 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 38.3 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 38.3, so we can write it down as 100%=38.3.
4. We know, that x% equals 14.2 of the output value, so we can write it down as x%=14.2.
5. Now we have two simple equations:
1) 100%=38.3
2) x%=14.2
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%=38.3/14.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.2 is what percent of 38.3

100%/x%=38.3/14.2
(100/x)*x=(38.3/14.2)*x       - we multiply both sides of the equation by x
100=2.6971830985915*x       - we divide both sides of the equation by (2.6971830985915) to get x
100/2.6971830985915=x
37.075718015666=x
x=37.075718015666

now we have:
14.2 is 37.075718015666% of 38.3