What is 29.67 percent of 467.63 - 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 467.63 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 467.63 is 100%, so we can write it down as 467.63=100%.
4. We know, that x is 29.67% of the output value, so we can write it down as x=29.67%.
5. Now we have two simple equations:
1) 467.63=100%
2) x=29.67%
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:
467.63/x=100%/29.67%
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 29.67% of 467.63

467.63/x=100/29.67
(467.63/x)*x=(100/29.67)*x       - we multiply both sides of the equation by x
467.63=3.3704078193461*x       - we divide both sides of the equation by (3.3704078193461) to get x
467.63/3.3704078193461=x
138.745821=x
x=138.745821

now we have:
29.67% of 467.63=138.745821