What is 3480 percent of 3980 - 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 3980 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 3980 is 100%, so we can write it down as 3980=100%.
4. We know, that x is 3480% of the output value, so we can write it down as x=3480%.
5. Now we have two simple equations:
1) 3980=100%
2) x=3480%
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:
3980/x=100%/3480%
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 3480% of 3980

3980/x=100/3480
(3980/x)*x=(100/3480)*x       - we multiply both sides of the equation by x
3980=0.028735632183908*x       - we divide both sides of the equation by (0.028735632183908) to get x
3980/0.028735632183908=x
138504=x
x=138504

now we have:
3480% of 3980=138504