What is 260 percent of 49.4 - 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 49.4 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 49.4 is 100%, so we can write it down as 49.4=100%.
4. We know, that x is 260% of the output value, so we can write it down as x=260%.
5. Now we have two simple equations:
1) 49.4=100%
2) x=260%
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:
49.4/x=100%/260%
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 260% of 49.4

49.4/x=100/260
(49.4/x)*x=(100/260)*x       - we multiply both sides of the equation by x
49.4=0.38461538461538*x       - we divide both sides of the equation by (0.38461538461538) to get x
49.4/0.38461538461538=x
128.44=x
x=128.44

now we have:
260% of 49.4=128.44