5.37 is what percent of 22.85 - 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 22.85 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 22.85, so we can write it down as 100%=22.85.
4. We know, that x% equals 5.37 of the output value, so we can write it down as x%=5.37.
5. Now we have two simple equations:
1) 100%=22.85
2) x%=5.37
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%=22.85/5.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.37 is what percent of 22.85

100%/x%=22.85/5.37
(100/x)*x=(22.85/5.37)*x       - we multiply both sides of the equation by x
100=4.2551210428305*x       - we divide both sides of the equation by (4.2551210428305) to get x
100/4.2551210428305=x
23.501094091904=x
x=23.501094091904

now we have:
5.37 is 23.501094091904% of 22.85