What is 18.976 percent of 9.146 - 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 9.146 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 9.146 is 100%, so we can write it down as 9.146=100%.
4. We know, that x is 18.976% of the output value, so we can write it down as x=18.976%.
5. Now we have two simple equations:
1) 9.146=100%
2) x=18.976%
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:
9.146/x=100%/18.976%
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 18.976% of 9.146

9.146/x=100/18.976
(9.146/x)*x=(100/18.976)*x       - we multiply both sides of the equation by x
9.146=5.2698145025295*x       - we divide both sides of the equation by (5.2698145025295) to get x
9.146/5.2698145025295=x
1.73554496=x
x=1.73554496

now we have:
18.976% of 9.146=1.73554496