What is 1.792 percent of 5.742 - 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 5.742 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 5.742 is 100%, so we can write it down as 5.742=100%.
4. We know, that x is 1.792% of the output value, so we can write it down as x=1.792%.
5. Now we have two simple equations:
1) 5.742=100%
2) x=1.792%
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:
5.742/x=100%/1.792%
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 1.792% of 5.742

5.742/x=100/1.792
(5.742/x)*x=(100/1.792)*x       - we multiply both sides of the equation by x
5.742=55.803571428571*x       - we divide both sides of the equation by (55.803571428571) to get x
5.742/55.803571428571=x
0.10289664=x
x=0.10289664

now we have:
1.792% of 5.742=0.10289664