1762.33 is what percent of 2548.25 - 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 2548.25 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 2548.25, so we can write it down as 100%=2548.25.
4. We know, that x% equals 1762.33 of the output value, so we can write it down as x%=1762.33.
5. Now we have two simple equations:
1) 100%=2548.25
2) x%=1762.33
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%=2548.25/1762.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1762.33 is what percent of 2548.25

100%/x%=2548.25/1762.33
(100/x)*x=(2548.25/1762.33)*x       - we multiply both sides of the equation by x
100=1.4459550708437*x       - we divide both sides of the equation by (1.4459550708437) to get x
100/1.4459550708437=x
69.158442068086=x
x=69.158442068086

now we have:
1762.33 is 69.158442068086% of 2548.25