What is 72.3 percent of 46.995 - 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 46.995 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 46.995 is 100%, so we can write it down as 46.995=100%.
4. We know, that x is 72.3% of the output value, so we can write it down as x=72.3%.
5. Now we have two simple equations:
1) 46.995=100%
2) x=72.3%
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:
46.995/x=100%/72.3%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 72.3% of 46.995

46.995/x=100/72.3
(46.995/x)*x=(100/72.3)*x       - we multiply both sides of the equation by x
46.995=1.3831258644537*x       - we divide both sides of the equation by (1.3831258644537) to get x
46.995/1.3831258644537=x
33.977385=x
x=33.977385

now we have:
72.3% of 46.995=33.977385