What is 1.1025 percent of 22.05 - 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 22.05 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 22.05 is 100%, so we can write it down as 22.05=100%.
4. We know, that x is 1.1025% of the output value, so we can write it down as x=1.1025%.
5. Now we have two simple equations:
1) 22.05=100%
2) x=1.1025%
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:
22.05/x=100%/1.1025%
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 1.1025% of 22.05

22.05/x=100/1.1025
(22.05/x)*x=(100/1.1025)*x       - we multiply both sides of the equation by x
22.05=90.702947845805*x       - we divide both sides of the equation by (90.702947845805) to get x
22.05/90.702947845805=x
0.24310125=x
x=0.24310125

now we have:
1.1025% of 22.05=0.24310125