What is 6.7794117647059 percent of 1152 - 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 1152 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 1152 is 100%, so we can write it down as 1152=100%.
4. We know, that x is 6.7794117647059% of the output value, so we can write it down as x=6.7794117647059%.
5. Now we have two simple equations:
1) 1152=100%
2) x=6.7794117647059%
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:
1152/x=100%/6.7794117647059%
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 6.7794117647059% of 1152

1152/x=100/6.7794117647059
(1152/x)*x=(100/6.7794117647059)*x       - we multiply both sides of the equation by x
1152=14.750542299349*x       - we divide both sides of the equation by (14.750542299349) to get x
1152/14.750542299349=x
78.098823529412=x
x=78.098823529412

now we have:
6.7794117647059% of 1152=78.098823529412