45.75 is what percent of 49.5 - 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 49.5 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 49.5, so we can write it down as 100%=49.5.
4. We know, that x% equals 45.75 of the output value, so we can write it down as x%=45.75.
5. Now we have two simple equations:
1) 100%=49.5
2) x%=45.75
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%=49.5/45.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.75 is what percent of 49.5

100%/x%=49.5/45.75
(100/x)*x=(49.5/45.75)*x       - we multiply both sides of the equation by x
100=1.0819672131148*x       - we divide both sides of the equation by (1.0819672131148) to get x
100/1.0819672131148=x
92.424242424242=x
x=92.424242424242

now we have:
45.75 is 92.424242424242% of 49.5