47.4 is what percent of 264.8 - 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 264.8 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 264.8, so we can write it down as 100%=264.8.
4. We know, that x% equals 47.4 of the output value, so we can write it down as x%=47.4.
5. Now we have two simple equations:
1) 100%=264.8
2) x%=47.4
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%=264.8/47.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.4 is what percent of 264.8

100%/x%=264.8/47.4
(100/x)*x=(264.8/47.4)*x       - we multiply both sides of the equation by x
100=5.5864978902954*x       - we divide both sides of the equation by (5.5864978902954) to get x
100/5.5864978902954=x
17.900302114804=x
x=17.900302114804

now we have:
47.4 is 17.900302114804% of 264.8