47 is what percent of 219 - 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 219 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 219, so we can write it down as 100%=219.
4. We know, that x% equals 47 of the output value, so we can write it down as x%=47.
5. Now we have two simple equations:
1) 100%=219
2) x%=47
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%=219/47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47 is what percent of 219

100%/x%=219/47
(100/x)*x=(219/47)*x       - we multiply both sides of the equation by x
100=4.6595744680851*x       - we divide both sides of the equation by (4.6595744680851) to get x
100/4.6595744680851=x
21.461187214612=x
x=21.461187214612

now we have:
47 is 21.461187214612% of 219