45.73 is what percent of 468 - 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 468 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 468, so we can write it down as 100%=468.
4. We know, that x% equals 45.73 of the output value, so we can write it down as x%=45.73.
5. Now we have two simple equations:
1) 100%=468
2) x%=45.73
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%=468/45.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.73 is what percent of 468

100%/x%=468/45.73
(100/x)*x=(468/45.73)*x       - we multiply both sides of the equation by x
100=10.233982068664*x       - we divide both sides of the equation by (10.233982068664) to get x
100/10.233982068664=x
9.7713675213675=x
x=9.7713675213675

now we have:
45.73 is 9.7713675213675% of 468