What is 78.571428571429 percent of 1.8 - 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 1.8 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 1.8 is 100%, so we can write it down as 1.8=100%.
4. We know, that x is 78.571428571429% of the output value, so we can write it down as x=78.571428571429%.
5. Now we have two simple equations:
1) 1.8=100%
2) x=78.571428571429%
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:
1.8/x=100%/78.571428571429%
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 78.571428571429% of 1.8

1.8/x=100/78.571428571429
(1.8/x)*x=(100/78.571428571429)*x       - we multiply both sides of the equation by x
1.8=1.2727272727273*x       - we divide both sides of the equation by (1.2727272727273) to get x
1.8/1.2727272727273=x
1.4142857142857=x
x=1.4142857142857

now we have:
78.571428571429% of 1.8=1.4142857142857