47 is what percent of 4543 - 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 4543 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 4543, so we can write it down as 100%=4543.
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%=4543
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%=4543/47
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 4543

100%/x%=4543/47
(100/x)*x=(4543/47)*x       - we multiply both sides of the equation by x
100=96.659574468085*x       - we divide both sides of the equation by (96.659574468085) to get x
100/96.659574468085=x
1.0345586616773=x
x=1.0345586616773

now we have:
47 is 1.0345586616773% of 4543