104.92 is what percent of 253.14 - 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 253.14 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 253.14, so we can write it down as 100%=253.14.
4. We know, that x% equals 104.92 of the output value, so we can write it down as x%=104.92.
5. Now we have two simple equations:
1) 100%=253.14
2) x%=104.92
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%=253.14/104.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 104.92 is what percent of 253.14

100%/x%=253.14/104.92
(100/x)*x=(253.14/104.92)*x       - we multiply both sides of the equation by x
100=2.4126953869615*x       - we divide both sides of the equation by (2.4126953869615) to get x
100/2.4126953869615=x
41.447420399779=x
x=41.447420399779

now we have:
104.92 is 41.447420399779% of 253.14