2542.26 is what percent of 3042 - 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 3042 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 3042, so we can write it down as 100%=3042.
4. We know, that x% equals 2542.26 of the output value, so we can write it down as x%=2542.26.
5. Now we have two simple equations:
1) 100%=3042
2) x%=2542.26
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%=3042/2542.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2542.26 is what percent of 3042

100%/x%=3042/2542.26
(100/x)*x=(3042/2542.26)*x       - we multiply both sides of the equation by x
100=1.1965731278469*x       - we divide both sides of the equation by (1.1965731278469) to get x
100/1.1965731278469=x
83.571992110454=x
x=83.571992110454

now we have:
2542.26 is 83.571992110454% of 3042