2480.77 is what percent of 1744 - 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 1744 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 100% equals 1744, so we can write it down as 100%=1744.
4. We know, that x% equals 2480.77 of the output value, so we can write it down as x%=2480.77.
5. Now we have two simple equations:
1) 100%=1744
2) x%=2480.77
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:
100%/x%=1744/2480.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2480.77 is what percent of 1744

100%/x%=1744/2480.77
(100/x)*x=(1744/2480.77)*x       - we multiply both sides of the equation by x
100=0.70300753395115*x       - we divide both sides of the equation by (0.70300753395115) to get x
100/0.70300753395115=x
142.24598623853=x
x=142.24598623853

now we have:
2480.77 is 142.24598623853% of 1744