19.46 is what percent of 265.86 - 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 265.86 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 265.86, so we can write it down as 100%=265.86.
4. We know, that x% equals 19.46 of the output value, so we can write it down as x%=19.46.
5. Now we have two simple equations:
1) 100%=265.86
2) x%=19.46
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%=265.86/19.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.46 is what percent of 265.86

100%/x%=265.86/19.46
(100/x)*x=(265.86/19.46)*x       - we multiply both sides of the equation by x
100=13.661870503597*x       - we divide both sides of the equation by (13.661870503597) to get x
100/13.661870503597=x
7.3196419167983=x
x=7.3196419167983

now we have:
19.46 is 7.3196419167983% of 265.86