What is 42.55 percent of 705 - 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 705 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 705 is 100%, so we can write it down as 705=100%.
4. We know, that x is 42.55% of the output value, so we can write it down as x=42.55%.
5. Now we have two simple equations:
1) 705=100%
2) x=42.55%
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:
705/x=100%/42.55%
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 42.55% of 705

705/x=100/42.55
(705/x)*x=(100/42.55)*x       - we multiply both sides of the equation by x
705=2.3501762632197*x       - we divide both sides of the equation by (2.3501762632197) to get x
705/2.3501762632197=x
299.9775=x
x=299.9775

now we have:
42.55% of 705=299.9775