45.9 is what percent of 193.9 - 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 193.9 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 193.9, so we can write it down as 100%=193.9.
4. We know, that x% equals 45.9 of the output value, so we can write it down as x%=45.9.
5. Now we have two simple equations:
1) 100%=193.9
2) x%=45.9
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%=193.9/45.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.9 is what percent of 193.9

100%/x%=193.9/45.9
(100/x)*x=(193.9/45.9)*x       - we multiply both sides of the equation by x
100=4.2244008714597*x       - we divide both sides of the equation by (4.2244008714597) to get x
100/4.2244008714597=x
23.671995874162=x
x=23.671995874162

now we have:
45.9 is 23.671995874162% of 193.9