99 is what percent of 4646 - 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 4646 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 4646, so we can write it down as 100%=4646.
4. We know, that x% equals 99 of the output value, so we can write it down as x%=99.
5. Now we have two simple equations:
1) 100%=4646
2) x%=99
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%=4646/99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 99 is what percent of 4646

100%/x%=4646/99
(100/x)*x=(4646/99)*x       - we multiply both sides of the equation by x
100=46.929292929293*x       - we divide both sides of the equation by (46.929292929293) to get x
100/46.929292929293=x
2.1308652604391=x
x=2.1308652604391

now we have:
99 is 2.1308652604391% of 4646