45.8 is what 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 100% equals 260, so we can write it down as 100%=260.
4. We know, that x% equals 45.8 of the output value, so we can write it down as x%=45.8.
5. Now we have two simple equations:
1) 100%=260
2) x%=45.8
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:
100%/x%=260/45.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.8 is what percent of 260

100%/x%=260/45.8
(100/x)*x=(260/45.8)*x       - we multiply both sides of the equation by x
100=5.6768558951965*x       - we divide both sides of the equation by (5.6768558951965) to get x
100/5.6768558951965=x
17.615384615385=x
x=17.615384615385

now we have:
45.8 is 17.615384615385% of 260