What is 12.94 percent of 469.46 - 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 469.46 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 469.46 is 100%, so we can write it down as 469.46=100%.
4. We know, that x is 12.94% of the output value, so we can write it down as x=12.94%.
5. Now we have two simple equations:
1) 469.46=100%
2) x=12.94%
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:
469.46/x=100%/12.94%
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 12.94% of 469.46

469.46/x=100/12.94
(469.46/x)*x=(100/12.94)*x       - we multiply both sides of the equation by x
469.46=7.7279752704791*x       - we divide both sides of the equation by (7.7279752704791) to get x
469.46/7.7279752704791=x
60.748124=x
x=60.748124

now we have:
12.94% of 469.46=60.748124