What is 51 percent of 6.66666667 - 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 6.66666667 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 6.66666667 is 100%, so we can write it down as 6.66666667=100%.
4. We know, that x is 51% of the output value, so we can write it down as x=51%.
5. Now we have two simple equations:
1) 6.66666667=100%
2) x=51%
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:
6.66666667/x=100%/51%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 51% of 6.66666667

6.66666667/x=100/51
(6.66666667/x)*x=(100/51)*x       - we multiply both sides of the equation by x
6.66666667=1.9607843137255*x       - we divide both sides of the equation by (1.9607843137255) to get x
6.66666667/1.9607843137255=x
3.4000000017=x
x=3.4000000017

now we have:
51% of 6.66666667=3.4000000017