217.29 is what percent of 3129.56 - 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 3129.56 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 3129.56, so we can write it down as 100%=3129.56.
4. We know, that x% equals 217.29 of the output value, so we can write it down as x%=217.29.
5. Now we have two simple equations:
1) 100%=3129.56
2) x%=217.29
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%=3129.56/217.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 217.29 is what percent of 3129.56

100%/x%=3129.56/217.29
(100/x)*x=(3129.56/217.29)*x       - we multiply both sides of the equation by x
100=14.402687652446*x       - we divide both sides of the equation by (14.402687652446) to get x
100/14.402687652446=x
6.9431485576247=x
x=6.9431485576247

now we have:
217.29 is 6.9431485576247% of 3129.56