17.4 is what percent of 38.1 - 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 38.1 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 38.1, so we can write it down as 100%=38.1.
4. We know, that x% equals 17.4 of the output value, so we can write it down as x%=17.4.
5. Now we have two simple equations:
1) 100%=38.1
2) x%=17.4
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%=38.1/17.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.4 is what percent of 38.1

100%/x%=38.1/17.4
(100/x)*x=(38.1/17.4)*x       - we multiply both sides of the equation by x
100=2.1896551724138*x       - we divide both sides of the equation by (2.1896551724138) to get x
100/2.1896551724138=x
45.669291338583=x
x=45.669291338583

now we have:
17.4 is 45.669291338583% of 38.1