0.25 is what percent of 45.11 - 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 45.11 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 45.11, so we can write it down as 100%=45.11.
4. We know, that x% equals 0.25 of the output value, so we can write it down as x%=0.25.
5. Now we have two simple equations:
1) 100%=45.11
2) x%=0.25
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%=45.11/0.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.25 is what percent of 45.11

100%/x%=45.11/0.25
(100/x)*x=(45.11/0.25)*x       - we multiply both sides of the equation by x
100=180.44*x       - we divide both sides of the equation by (180.44) to get x
100/180.44=x
0.55420084238528=x
x=0.55420084238528

now we have:
0.25 is 0.55420084238528% of 45.11