45.14 is what percent of 24.4 - 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 24.4 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 24.4, so we can write it down as 100%=24.4.
4. We know, that x% equals 45.14 of the output value, so we can write it down as x%=45.14.
5. Now we have two simple equations:
1) 100%=24.4
2) x%=45.14
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%=24.4/45.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.14 is what percent of 24.4

100%/x%=24.4/45.14
(100/x)*x=(24.4/45.14)*x       - we multiply both sides of the equation by x
100=0.54054054054054*x       - we divide both sides of the equation by (0.54054054054054) to get x
100/0.54054054054054=x
185=x
x=185

now we have:
45.14 is 185% of 24.4