3724 is what percent of 46744.96 - 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 46744.96 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 46744.96, so we can write it down as 100%=46744.96.
4. We know, that x% equals 3724 of the output value, so we can write it down as x%=3724.
5. Now we have two simple equations:
1) 100%=46744.96
2) x%=3724
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%=46744.96/3724
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3724 is what percent of 46744.96

100%/x%=46744.96/3724
(100/x)*x=(46744.96/3724)*x       - we multiply both sides of the equation by x
100=12.552352309345*x       - we divide both sides of the equation by (12.552352309345) to get x
100/12.552352309345=x
7.9666342638864=x
x=7.9666342638864

now we have:
3724 is 7.9666342638864% of 46744.96