47.34 is what percent of 240 - 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 240 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 240, so we can write it down as 100%=240.
4. We know, that x% equals 47.34 of the output value, so we can write it down as x%=47.34.
5. Now we have two simple equations:
1) 100%=240
2) x%=47.34
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%=240/47.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.34 is what percent of 240

100%/x%=240/47.34
(100/x)*x=(240/47.34)*x       - we multiply both sides of the equation by x
100=5.0697084917617*x       - we divide both sides of the equation by (5.0697084917617) to get x
100/5.0697084917617=x
19.725=x
x=19.725

now we have:
47.34 is 19.725% of 240