17.6 is what percent of 37.75 - 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 37.75 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 37.75, so we can write it down as 100%=37.75.
4. We know, that x% equals 17.6 of the output value, so we can write it down as x%=17.6.
5. Now we have two simple equations:
1) 100%=37.75
2) x%=17.6
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%=37.75/17.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.6 is what percent of 37.75

100%/x%=37.75/17.6
(100/x)*x=(37.75/17.6)*x       - we multiply both sides of the equation by x
100=2.1448863636364*x       - we divide both sides of the equation by (2.1448863636364) to get x
100/2.1448863636364=x
46.622516556291=x
x=46.622516556291

now we have:
17.6 is 46.622516556291% of 37.75