22.37 is what percent of 25 - 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 25 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 25, so we can write it down as 100%=25.
4. We know, that x% equals 22.37 of the output value, so we can write it down as x%=22.37.
5. Now we have two simple equations:
1) 100%=25
2) x%=22.37
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%=25/22.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.37 is what percent of 25

100%/x%=25/22.37
(100/x)*x=(25/22.37)*x       - we multiply both sides of the equation by x
100=1.1175681716585*x       - we divide both sides of the equation by (1.1175681716585) to get x
100/1.1175681716585=x
89.48=x
x=89.48

now we have:
22.37 is 89.48% of 25