47 is what percent of 1934 - 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 1934 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 1934, so we can write it down as 100%=1934.
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%=1934
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%=1934/47
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 1934

100%/x%=1934/47
(100/x)*x=(1934/47)*x       - we multiply both sides of the equation by x
100=41.148936170213*x       - we divide both sides of the equation by (41.148936170213) to get x
100/41.148936170213=x
2.430196483971=x
x=2.430196483971

now we have:
47 is 2.430196483971% of 1934