104.93 is what percent of 213.95 - 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 213.95 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 213.95, so we can write it down as 100%=213.95.
4. We know, that x% equals 104.93 of the output value, so we can write it down as x%=104.93.
5. Now we have two simple equations:
1) 100%=213.95
2) x%=104.93
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%=213.95/104.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 104.93 is what percent of 213.95

100%/x%=213.95/104.93
(100/x)*x=(213.95/104.93)*x       - we multiply both sides of the equation by x
100=2.0389783665301*x       - we divide both sides of the equation by (2.0389783665301) to get x
100/2.0389783665301=x
49.044169198411=x
x=49.044169198411

now we have:
104.93 is 49.044169198411% of 213.95