1522.55 is what percent of 3992.55 - 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 3992.55 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 3992.55, so we can write it down as 100%=3992.55.
4. We know, that x% equals 1522.55 of the output value, so we can write it down as x%=1522.55.
5. Now we have two simple equations:
1) 100%=3992.55
2) x%=1522.55
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%=3992.55/1522.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1522.55 is what percent of 3992.55

100%/x%=3992.55/1522.55
(100/x)*x=(3992.55/1522.55)*x       - we multiply both sides of the equation by x
100=2.622278414502*x       - we divide both sides of the equation by (2.622278414502) to get x
100/2.622278414502=x
38.134776020338=x
x=38.134776020338

now we have:
1522.55 is 38.134776020338% of 3992.55