43 is what percent of 4748 - 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 4748 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 4748, so we can write it down as 100%=4748.
4. We know, that x% equals 43 of the output value, so we can write it down as x%=43.
5. Now we have two simple equations:
1) 100%=4748
2) x%=43
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%=4748/43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 43 is what percent of 4748

100%/x%=4748/43
(100/x)*x=(4748/43)*x       - we multiply both sides of the equation by x
100=110.41860465116*x       - we divide both sides of the equation by (110.41860465116) to get x
100/110.41860465116=x
0.90564448188711=x
x=0.90564448188711

now we have:
43 is 0.90564448188711% of 4748