45.69 is what percent of 191.44 - 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 191.44 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 191.44, so we can write it down as 100%=191.44.
4. We know, that x% equals 45.69 of the output value, so we can write it down as x%=45.69.
5. Now we have two simple equations:
1) 100%=191.44
2) x%=45.69
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%=191.44/45.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.69 is what percent of 191.44

100%/x%=191.44/45.69
(100/x)*x=(191.44/45.69)*x       - we multiply both sides of the equation by x
100=4.18997592471*x       - we divide both sides of the equation by (4.18997592471) to get x
100/4.18997592471=x
23.86648558295=x
x=23.86648558295

now we have:
45.69 is 23.86648558295% of 191.44