15.62 is what percent of 265.61 - 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 265.61 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 265.61, so we can write it down as 100%=265.61.
4. We know, that x% equals 15.62 of the output value, so we can write it down as x%=15.62.
5. Now we have two simple equations:
1) 100%=265.61
2) x%=15.62
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%=265.61/15.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.62 is what percent of 265.61

100%/x%=265.61/15.62
(100/x)*x=(265.61/15.62)*x       - we multiply both sides of the equation by x
100=17.004481434059*x       - we divide both sides of the equation by (17.004481434059) to get x
100/17.004481434059=x
5.880802680622=x
x=5.880802680622

now we have:
15.62 is 5.880802680622% of 265.61