17.7 is what percent of 671 - 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 671 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 671, so we can write it down as 100%=671.
4. We know, that x% equals 17.7 of the output value, so we can write it down as x%=17.7.
5. Now we have two simple equations:
1) 100%=671
2) x%=17.7
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%=671/17.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.7 is what percent of 671

100%/x%=671/17.7
(100/x)*x=(671/17.7)*x       - we multiply both sides of the equation by x
100=37.909604519774*x       - we divide both sides of the equation by (37.909604519774) to get x
100/37.909604519774=x
2.6378539493294=x
x=2.6378539493294

now we have:
17.7 is 2.6378539493294% of 671