18.73 is what percent of 46.01 - 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 46.01 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 46.01, so we can write it down as 100%=46.01.
4. We know, that x% equals 18.73 of the output value, so we can write it down as x%=18.73.
5. Now we have two simple equations:
1) 100%=46.01
2) x%=18.73
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%=46.01/18.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.73 is what percent of 46.01

100%/x%=46.01/18.73
(100/x)*x=(46.01/18.73)*x       - we multiply both sides of the equation by x
100=2.4564869193807*x       - we divide both sides of the equation by (2.4564869193807) to get x
100/2.4564869193807=x
40.708541621387=x
x=40.708541621387

now we have:
18.73 is 40.708541621387% of 46.01