45.28 is what percent of 46.519 - 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 46.519 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 46.519, so we can write it down as 100%=46.519.
4. We know, that x% equals 45.28 of the output value, so we can write it down as x%=45.28.
5. Now we have two simple equations:
1) 100%=46.519
2) x%=45.28
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%=46.519/45.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.28 is what percent of 46.519

100%/x%=46.519/45.28
(100/x)*x=(46.519/45.28)*x       - we multiply both sides of the equation by x
100=1.0273630742049*x       - we divide both sides of the equation by (1.0273630742049) to get x
100/1.0273630742049=x
97.336572153314=x
x=97.336572153314

now we have:
45.28 is 97.336572153314% of 46.519