What is 27500 percent of 4.9 - 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 4.9 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 4.9 is 100%, so we can write it down as 4.9=100%.
4. We know, that x is 27500% of the output value, so we can write it down as x=27500%.
5. Now we have two simple equations:
1) 4.9=100%
2) x=27500%
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:
4.9/x=100%/27500%
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 27500% of 4.9

4.9/x=100/27500
(4.9/x)*x=(100/27500)*x       - we multiply both sides of the equation by x
4.9=0.0036363636363636*x       - we divide both sides of the equation by (0.0036363636363636) to get x
4.9/0.0036363636363636=x
1347.5=x
x=1347.5

now we have:
27500% of 4.9=1347.5