77.42 is what percent of 2596.67 - 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 2596.67 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 2596.67, so we can write it down as 100%=2596.67.
4. We know, that x% equals 77.42 of the output value, so we can write it down as x%=77.42.
5. Now we have two simple equations:
1) 100%=2596.67
2) x%=77.42
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%=2596.67/77.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77.42 is what percent of 2596.67

100%/x%=2596.67/77.42
(100/x)*x=(2596.67/77.42)*x       - we multiply both sides of the equation by x
100=33.540041332989*x       - we divide both sides of the equation by (33.540041332989) to get x
100/33.540041332989=x
2.9815109351593=x
x=2.9815109351593

now we have:
77.42 is 2.9815109351593% of 2596.67