65.3 is what percent of 56.5 - 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 56.5 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 56.5, so we can write it down as 100%=56.5.
4. We know, that x% equals 65.3 of the output value, so we can write it down as x%=65.3.
5. Now we have two simple equations:
1) 100%=56.5
2) x%=65.3
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%=56.5/65.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 65.3 is what percent of 56.5

100%/x%=56.5/65.3
(100/x)*x=(56.5/65.3)*x       - we multiply both sides of the equation by x
100=0.86523736600306*x       - we divide both sides of the equation by (0.86523736600306) to get x
100/0.86523736600306=x
115.57522123894=x
x=115.57522123894

now we have:
65.3 is 115.57522123894% of 56.5