46.75 is what percent of 99.95 - 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 99.95 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 99.95, so we can write it down as 100%=99.95.
4. We know, that x% equals 46.75 of the output value, so we can write it down as x%=46.75.
5. Now we have two simple equations:
1) 100%=99.95
2) x%=46.75
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%=99.95/46.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.75 is what percent of 99.95

100%/x%=99.95/46.75
(100/x)*x=(99.95/46.75)*x       - we multiply both sides of the equation by x
100=2.1379679144385*x       - we divide both sides of the equation by (2.1379679144385) to get x
100/2.1379679144385=x
46.773386693347=x
x=46.773386693347

now we have:
46.75 is 46.773386693347% of 99.95