What is 42.63 percent of 415.95 - 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 415.95 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 415.95 is 100%, so we can write it down as 415.95=100%.
4. We know, that x is 42.63% of the output value, so we can write it down as x=42.63%.
5. Now we have two simple equations:
1) 415.95=100%
2) x=42.63%
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:
415.95/x=100%/42.63%
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 42.63% of 415.95

415.95/x=100/42.63
(415.95/x)*x=(100/42.63)*x       - we multiply both sides of the equation by x
415.95=2.3457658925639*x       - we divide both sides of the equation by (2.3457658925639) to get x
415.95/2.3457658925639=x
177.319485=x
x=177.319485

now we have:
42.63% of 415.95=177.319485