What is 105 percent of 407 - 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 407 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 407 is 100%, so we can write it down as 407=100%.
4. We know, that x is 105% of the output value, so we can write it down as x=105%.
5. Now we have two simple equations:
1) 407=100%
2) x=105%
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:
407/x=100%/105%
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 105% of 407

407/x=100/105
(407/x)*x=(100/105)*x       - we multiply both sides of the equation by x
407=0.95238095238095*x       - we divide both sides of the equation by (0.95238095238095) to get x
407/0.95238095238095=x
427.35=x
x=427.35

now we have:
105% of 407=427.35