What is 11.0054 percent of 29.742 - 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 29.742 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 29.742 is 100%, so we can write it down as 29.742=100%.
4. We know, that x is 11.0054% of the output value, so we can write it down as x=11.0054%.
5. Now we have two simple equations:
1) 29.742=100%
2) x=11.0054%
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:
29.742/x=100%/11.0054%
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 11.0054% of 29.742

29.742/x=100/11.0054
(29.742/x)*x=(100/11.0054)*x       - we multiply both sides of the equation by x
29.742=9.0864484707507*x       - we divide both sides of the equation by (9.0864484707507) to get x
29.742/9.0864484707507=x
3.273226068=x
x=3.273226068

now we have:
11.0054% of 29.742=3.273226068