6.66 is what percent of 3.56 - 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 3.56 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 3.56, so we can write it down as 100%=3.56.
4. We know, that x% equals 6.66 of the output value, so we can write it down as x%=6.66.
5. Now we have two simple equations:
1) 100%=3.56
2) x%=6.66
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%=3.56/6.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.66 is what percent of 3.56

100%/x%=3.56/6.66
(100/x)*x=(3.56/6.66)*x       - we multiply both sides of the equation by x
100=0.53453453453453*x       - we divide both sides of the equation by (0.53453453453453) to get x
100/0.53453453453453=x
187.07865168539=x
x=187.07865168539

now we have:
6.66 is 187.07865168539% of 3.56