What is 11.24 percent of 177.22 - 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 177.22 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 177.22 is 100%, so we can write it down as 177.22=100%.
4. We know, that x is 11.24% of the output value, so we can write it down as x=11.24%.
5. Now we have two simple equations:
1) 177.22=100%
2) x=11.24%
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:
177.22/x=100%/11.24%
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 11.24% of 177.22

177.22/x=100/11.24
(177.22/x)*x=(100/11.24)*x       - we multiply both sides of the equation by x
177.22=8.8967971530249*x       - we divide both sides of the equation by (8.8967971530249) to get x
177.22/8.8967971530249=x
19.919528=x
x=19.919528

now we have:
11.24% of 177.22=19.919528