What is 10.2 percent of 4.792 - 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 4.792 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 4.792 is 100%, so we can write it down as 4.792=100%.
4. We know, that x is 10.2% of the output value, so we can write it down as x=10.2%.
5. Now we have two simple equations:
1) 4.792=100%
2) x=10.2%
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:
4.792/x=100%/10.2%
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 10.2% of 4.792

4.792/x=100/10.2
(4.792/x)*x=(100/10.2)*x       - we multiply both sides of the equation by x
4.792=9.8039215686275*x       - we divide both sides of the equation by (9.8039215686275) to get x
4.792/9.8039215686275=x
0.488784=x
x=0.488784

now we have:
10.2% of 4.792=0.488784