What is 97.642857142857 percent of 4.3 - 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 4.3 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 4.3 is 100%, so we can write it down as 4.3=100%.
4. We know, that x is 97.642857142857% of the output value, so we can write it down as x=97.642857142857%.
5. Now we have two simple equations:
1) 4.3=100%
2) x=97.642857142857%
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:
4.3/x=100%/97.642857142857%
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 97.642857142857% of 4.3

4.3/x=100/97.642857142857
(4.3/x)*x=(100/97.642857142857)*x       - we multiply both sides of the equation by x
4.3=1.0241404535479*x       - we divide both sides of the equation by (1.0241404535479) to get x
4.3/1.0241404535479=x
4.1986428571429=x
x=4.1986428571429

now we have:
97.642857142857% of 4.3=4.1986428571429