What is 397.6 percent of 1.42 - 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 1.42 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 1.42 is 100%, so we can write it down as 1.42=100%.
4. We know, that x is 397.6% of the output value, so we can write it down as x=397.6%.
5. Now we have two simple equations:
1) 1.42=100%
2) x=397.6%
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:
1.42/x=100%/397.6%
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 397.6% of 1.42

1.42/x=100/397.6
(1.42/x)*x=(100/397.6)*x       - we multiply both sides of the equation by x
1.42=0.25150905432596*x       - we divide both sides of the equation by (0.25150905432596) to get x
1.42/0.25150905432596=x
5.64592=x
x=5.64592

now we have:
397.6% of 1.42=5.64592