What is 2.95 percent of 460.58 - 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 460.58 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 460.58 is 100%, so we can write it down as 460.58=100%.
4. We know, that x is 2.95% of the output value, so we can write it down as x=2.95%.
5. Now we have two simple equations:
1) 460.58=100%
2) x=2.95%
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:
460.58/x=100%/2.95%
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 2.95% of 460.58

460.58/x=100/2.95
(460.58/x)*x=(100/2.95)*x       - we multiply both sides of the equation by x
460.58=33.898305084746*x       - we divide both sides of the equation by (33.898305084746) to get x
460.58/33.898305084746=x
13.58711=x
x=13.58711

now we have:
2.95% of 460.58=13.58711