10.66 is what percent of 37.31 - 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 37.31 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 37.31, so we can write it down as 100%=37.31.
4. We know, that x% equals 10.66 of the output value, so we can write it down as x%=10.66.
5. Now we have two simple equations:
1) 100%=37.31
2) x%=10.66
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%=37.31/10.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.66 is what percent of 37.31

100%/x%=37.31/10.66
(100/x)*x=(37.31/10.66)*x       - we multiply both sides of the equation by x
100=3.5*x       - we divide both sides of the equation by (3.5) to get x
100/3.5=x
28.571428571429=x
x=28.571428571429

now we have:
10.66 is 28.571428571429% of 37.31