What is 1375 percent of 3.49 - 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 3.49 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 3.49 is 100%, so we can write it down as 3.49=100%.
4. We know, that x is 1375% of the output value, so we can write it down as x=1375%.
5. Now we have two simple equations:
1) 3.49=100%
2) x=1375%
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:
3.49/x=100%/1375%
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 1375% of 3.49

3.49/x=100/1375
(3.49/x)*x=(100/1375)*x       - we multiply both sides of the equation by x
3.49=0.072727272727273*x       - we divide both sides of the equation by (0.072727272727273) to get x
3.49/0.072727272727273=x
47.9875=x
x=47.9875

now we have:
1375% of 3.49=47.9875