67.71 is what percent of 659.41 - 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 659.41 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 659.41, so we can write it down as 100%=659.41.
4. We know, that x% equals 67.71 of the output value, so we can write it down as x%=67.71.
5. Now we have two simple equations:
1) 100%=659.41
2) x%=67.71
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%=659.41/67.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67.71 is what percent of 659.41

100%/x%=659.41/67.71
(100/x)*x=(659.41/67.71)*x       - we multiply both sides of the equation by x
100=9.7387387387387*x       - we divide both sides of the equation by (9.7387387387387) to get x
100/9.7387387387387=x
10.268270120259=x
x=10.268270120259

now we have:
67.71 is 10.268270120259% of 659.41