15.96 is what percent of 265.99 - 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 265.99 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 265.99, so we can write it down as 100%=265.99.
4. We know, that x% equals 15.96 of the output value, so we can write it down as x%=15.96.
5. Now we have two simple equations:
1) 100%=265.99
2) x%=15.96
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%=265.99/15.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.96 is what percent of 265.99

100%/x%=265.99/15.96
(100/x)*x=(265.99/15.96)*x       - we multiply both sides of the equation by x
100=16.666040100251*x       - we divide both sides of the equation by (16.666040100251) to get x
100/16.666040100251=x
6.0002255723899=x
x=6.0002255723899

now we have:
15.96 is 6.0002255723899% of 265.99