What is 1.146 percent of 4.346 - 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 4.346 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 4.346 is 100%, so we can write it down as 4.346=100%.
4. We know, that x is 1.146% of the output value, so we can write it down as x=1.146%.
5. Now we have two simple equations:
1) 4.346=100%
2) x=1.146%
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:
4.346/x=100%/1.146%
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 1.146% of 4.346

4.346/x=100/1.146
(4.346/x)*x=(100/1.146)*x       - we multiply both sides of the equation by x
4.346=87.260034904014*x       - we divide both sides of the equation by (87.260034904014) to get x
4.346/87.260034904014=x
0.04980516=x
x=0.04980516

now we have:
1.146% of 4.346=0.04980516