96.2 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 96.2 of the output value, so we can write it down as x%=96.2.
5. Now we have two simple equations:
1) 100%=671
2) x%=96.2
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%=671/96.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 96.2 is what percent of 671

100%/x%=671/96.2
(100/x)*x=(671/96.2)*x       - we multiply both sides of the equation by x
100=6.975051975052*x       - we divide both sides of the equation by (6.975051975052) to get x
100/6.975051975052=x
14.336810730253=x
x=14.336810730253

now we have:
96.2 is 14.336810730253% of 671