What is 17.8 percent of 260 - 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 260 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 260 is 100%, so we can write it down as 260=100%.
4. We know, that x is 17.8% of the output value, so we can write it down as x=17.8%.
5. Now we have two simple equations:
1) 260=100%
2) x=17.8%
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:
260/x=100%/17.8%
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 17.8% of 260

260/x=100/17.8
(260/x)*x=(100/17.8)*x       - we multiply both sides of the equation by x
260=5.6179775280899*x       - we divide both sides of the equation by (5.6179775280899) to get x
260/5.6179775280899=x
46.28=x
x=46.28

now we have:
17.8% of 260=46.28