43 is what percent of 4637 - 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 4637 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 4637, so we can write it down as 100%=4637.
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%=4637
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%=4637/43
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 4637

100%/x%=4637/43
(100/x)*x=(4637/43)*x       - we multiply both sides of the equation by x
100=107.83720930233*x       - we divide both sides of the equation by (107.83720930233) to get x
100/107.83720930233=x
0.92732370066854=x
x=0.92732370066854

now we have:
43 is 0.92732370066854% of 4637