46 is what percent of 7041 - 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 7041 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 7041, so we can write it down as 100%=7041.
4. We know, that x% equals 46 of the output value, so we can write it down as x%=46.
5. Now we have two simple equations:
1) 100%=7041
2) x%=46
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%=7041/46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46 is what percent of 7041

100%/x%=7041/46
(100/x)*x=(7041/46)*x       - we multiply both sides of the equation by x
100=153.0652173913*x       - we divide both sides of the equation by (153.0652173913) to get x
100/153.0652173913=x
0.65331629029967=x
x=0.65331629029967

now we have:
46 is 0.65331629029967% of 7041