27.42 is what percent of 89.44 - 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 89.44 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 89.44, so we can write it down as 100%=89.44.
4. We know, that x% equals 27.42 of the output value, so we can write it down as x%=27.42.
5. Now we have two simple equations:
1) 100%=89.44
2) x%=27.42
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%=89.44/27.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.42 is what percent of 89.44

100%/x%=89.44/27.42
(100/x)*x=(89.44/27.42)*x       - we multiply both sides of the equation by x
100=3.2618526622903*x       - we divide both sides of the equation by (3.2618526622903) to get x
100/3.2618526622903=x
30.657423971377=x
x=30.657423971377

now we have:
27.42 is 30.657423971377% of 89.44