24.7 is what percent of 47.8 - 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 47.8 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 47.8, so we can write it down as 100%=47.8.
4. We know, that x% equals 24.7 of the output value, so we can write it down as x%=24.7.
5. Now we have two simple equations:
1) 100%=47.8
2) x%=24.7
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%=47.8/24.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.7 is what percent of 47.8

100%/x%=47.8/24.7
(100/x)*x=(47.8/24.7)*x       - we multiply both sides of the equation by x
100=1.9352226720648*x       - we divide both sides of the equation by (1.9352226720648) to get x
100/1.9352226720648=x
51.673640167364=x
x=51.673640167364

now we have:
24.7 is 51.673640167364% of 47.8