What is 29.25 percent of 258.442 - 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 258.442 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 258.442 is 100%, so we can write it down as 258.442=100%.
4. We know, that x is 29.25% of the output value, so we can write it down as x=29.25%.
5. Now we have two simple equations:
1) 258.442=100%
2) x=29.25%
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:
258.442/x=100%/29.25%
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 29.25% of 258.442

258.442/x=100/29.25
(258.442/x)*x=(100/29.25)*x       - we multiply both sides of the equation by x
258.442=3.4188034188034*x       - we divide both sides of the equation by (3.4188034188034) to get x
258.442/3.4188034188034=x
75.594285=x
x=75.594285

now we have:
29.25% of 258.442=75.594285