31.69 is what percent of 560 - 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 560 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 560, so we can write it down as 100%=560.
4. We know, that x% equals 31.69 of the output value, so we can write it down as x%=31.69.
5. Now we have two simple equations:
1) 100%=560
2) x%=31.69
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%=560/31.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.69 is what percent of 560

100%/x%=560/31.69
(100/x)*x=(560/31.69)*x       - we multiply both sides of the equation by x
100=17.671189649732*x       - we divide both sides of the equation by (17.671189649732) to get x
100/17.671189649732=x
5.6589285714286=x
x=5.6589285714286

now we have:
31.69 is 5.6589285714286% of 560