6.61 is what percent of 2.64 - 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 2.64 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 2.64, so we can write it down as 100%=2.64.
4. We know, that x% equals 6.61 of the output value, so we can write it down as x%=6.61.
5. Now we have two simple equations:
1) 100%=2.64
2) x%=6.61
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%=2.64/6.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.61 is what percent of 2.64

100%/x%=2.64/6.61
(100/x)*x=(2.64/6.61)*x       - we multiply both sides of the equation by x
100=0.39939485627837*x       - we divide both sides of the equation by (0.39939485627837) to get x
100/0.39939485627837=x
250.37878787879=x
x=250.37878787879

now we have:
6.61 is 250.37878787879% of 2.64