92 is what percent of 2575 - 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 2575 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 2575, so we can write it down as 100%=2575.
4. We know, that x% equals 92 of the output value, so we can write it down as x%=92.
5. Now we have two simple equations:
1) 100%=2575
2) x%=92
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%=2575/92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 92 is what percent of 2575

100%/x%=2575/92
(100/x)*x=(2575/92)*x       - we multiply both sides of the equation by x
100=27.989130434783*x       - we divide both sides of the equation by (27.989130434783) to get x
100/27.989130434783=x
3.5728155339806=x
x=3.5728155339806

now we have:
92 is 3.5728155339806% of 2575