17.2 is what percent of 37.4 - 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 37.4 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 37.4, so we can write it down as 100%=37.4.
4. We know, that x% equals 17.2 of the output value, so we can write it down as x%=17.2.
5. Now we have two simple equations:
1) 100%=37.4
2) x%=17.2
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%=37.4/17.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.2 is what percent of 37.4

100%/x%=37.4/17.2
(100/x)*x=(37.4/17.2)*x       - we multiply both sides of the equation by x
100=2.1744186046512*x       - we divide both sides of the equation by (2.1744186046512) to get x
100/2.1744186046512=x
45.989304812834=x
x=45.989304812834

now we have:
17.2 is 45.989304812834% of 37.4