What is 11.16 percent of 4.76 - 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 4.76 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 4.76 is 100%, so we can write it down as 4.76=100%.
4. We know, that x is 11.16% of the output value, so we can write it down as x=11.16%.
5. Now we have two simple equations:
1) 4.76=100%
2) x=11.16%
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:
4.76/x=100%/11.16%
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 11.16% of 4.76

4.76/x=100/11.16
(4.76/x)*x=(100/11.16)*x       - we multiply both sides of the equation by x
4.76=8.9605734767025*x       - we divide both sides of the equation by (8.9605734767025) to get x
4.76/8.9605734767025=x
0.531216=x
x=0.531216

now we have:
11.16% of 4.76=0.531216