2.66 is what percent of 784.69 - 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 784.69 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 784.69, so we can write it down as 100%=784.69.
4. We know, that x% equals 2.66 of the output value, so we can write it down as x%=2.66.
5. Now we have two simple equations:
1) 100%=784.69
2) x%=2.66
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%=784.69/2.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.66 is what percent of 784.69

100%/x%=784.69/2.66
(100/x)*x=(784.69/2.66)*x       - we multiply both sides of the equation by x
100=294.9962406015*x       - we divide both sides of the equation by (294.9962406015) to get x
100/294.9962406015=x
0.33898737080885=x
x=0.33898737080885

now we have:
2.66 is 0.33898737080885% of 784.69