56.5 is what percent of 34 - 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 34 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 34, so we can write it down as 100%=34.
4. We know, that x% equals 56.5 of the output value, so we can write it down as x%=56.5.
5. Now we have two simple equations:
1) 100%=34
2) x%=56.5
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%=34/56.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56.5 is what percent of 34

100%/x%=34/56.5
(100/x)*x=(34/56.5)*x       - we multiply both sides of the equation by x
100=0.60176991150442*x       - we divide both sides of the equation by (0.60176991150442) to get x
100/0.60176991150442=x
166.17647058824=x
x=166.17647058824

now we have:
56.5 is 166.17647058824% of 34