46 is what percent of 61635 - 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 61635 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 61635, so we can write it down as 100%=61635.
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%=61635
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%=61635/46
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 61635

100%/x%=61635/46
(100/x)*x=(61635/46)*x       - we multiply both sides of the equation by x
100=1339.8913043478*x       - we divide both sides of the equation by (1339.8913043478) to get x
100/1339.8913043478=x
0.074632919607366=x
x=0.074632919607366

now we have:
46 is 0.074632919607366% of 61635