6.71 is what percent of 16.88 - 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 16.88 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 16.88, so we can write it down as 100%=16.88.
4. We know, that x% equals 6.71 of the output value, so we can write it down as x%=6.71.
5. Now we have two simple equations:
1) 100%=16.88
2) x%=6.71
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%=16.88/6.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.71 is what percent of 16.88

100%/x%=16.88/6.71
(100/x)*x=(16.88/6.71)*x       - we multiply both sides of the equation by x
100=2.5156482861401*x       - we divide both sides of the equation by (2.5156482861401) to get x
100/2.5156482861401=x
39.751184834123=x
x=39.751184834123

now we have:
6.71 is 39.751184834123% of 16.88