51.7 is what percent of 278 - 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 278 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 278, so we can write it down as 100%=278.
4. We know, that x% equals 51.7 of the output value, so we can write it down as x%=51.7.
5. Now we have two simple equations:
1) 100%=278
2) x%=51.7
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%=278/51.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51.7 is what percent of 278

100%/x%=278/51.7
(100/x)*x=(278/51.7)*x       - we multiply both sides of the equation by x
100=5.3771760154739*x       - we divide both sides of the equation by (5.3771760154739) to get x
100/5.3771760154739=x
18.597122302158=x
x=18.597122302158

now we have:
51.7 is 18.597122302158% of 278