9.25 is what percent of 45.887 - 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 45.887 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 45.887, so we can write it down as 100%=45.887.
4. We know, that x% equals 9.25 of the output value, so we can write it down as x%=9.25.
5. Now we have two simple equations:
1) 100%=45.887
2) x%=9.25
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%=45.887/9.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.25 is what percent of 45.887

100%/x%=45.887/9.25
(100/x)*x=(45.887/9.25)*x       - we multiply both sides of the equation by x
100=4.9607567567568*x       - we divide both sides of the equation by (4.9607567567568) to get x
100/4.9607567567568=x
20.158214744917=x
x=20.158214744917

now we have:
9.25 is 20.158214744917% of 45.887