What is 96.153846153846 percent of 0.42 - 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 0.42 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 0.42 is 100%, so we can write it down as 0.42=100%.
4. We know, that x is 96.153846153846% of the output value, so we can write it down as x=96.153846153846%.
5. Now we have two simple equations:
1) 0.42=100%
2) x=96.153846153846%
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:
0.42/x=100%/96.153846153846%
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 96.153846153846% of 0.42

0.42/x=100/96.153846153846
(0.42/x)*x=(100/96.153846153846)*x       - we multiply both sides of the equation by x
0.42=1.04*x       - we divide both sides of the equation by (1.04) to get x
0.42/1.04=x
0.40384615384615=x
x=0.40384615384615

now we have:
96.153846153846% of 0.42=0.40384615384615