46.74 is what percent of 15837.07 - 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 15837.07 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 15837.07, so we can write it down as 100%=15837.07.
4. We know, that x% equals 46.74 of the output value, so we can write it down as x%=46.74.
5. Now we have two simple equations:
1) 100%=15837.07
2) x%=46.74
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%=15837.07/46.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.74 is what percent of 15837.07

100%/x%=15837.07/46.74
(100/x)*x=(15837.07/46.74)*x       - we multiply both sides of the equation by x
100=338.83333333333*x       - we divide both sides of the equation by (338.83333333333) to get x
100/338.83333333333=x
0.29513034923758=x
x=0.29513034923758

now we have:
46.74 is 0.29513034923758% of 15837.07