15.21 is what percent of 257.831 - 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 257.831 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 257.831, so we can write it down as 100%=257.831.
4. We know, that x% equals 15.21 of the output value, so we can write it down as x%=15.21.
5. Now we have two simple equations:
1) 100%=257.831
2) x%=15.21
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%=257.831/15.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.21 is what percent of 257.831

100%/x%=257.831/15.21
(100/x)*x=(257.831/15.21)*x       - we multiply both sides of the equation by x
100=16.951413543721*x       - we divide both sides of the equation by (16.951413543721) to get x
100/16.951413543721=x
5.899213050409=x
x=5.899213050409

now we have:
15.21 is 5.899213050409% of 257.831