43.78 is what percent of 62.56 - 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 62.56 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 62.56, so we can write it down as 100%=62.56.
4. We know, that x% equals 43.78 of the output value, so we can write it down as x%=43.78.
5. Now we have two simple equations:
1) 100%=62.56
2) x%=43.78
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%=62.56/43.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 43.78 is what percent of 62.56

100%/x%=62.56/43.78
(100/x)*x=(62.56/43.78)*x       - we multiply both sides of the equation by x
100=1.4289629968022*x       - we divide both sides of the equation by (1.4289629968022) to get x
100/1.4289629968022=x
69.980818414322=x
x=69.980818414322

now we have:
43.78 is 69.980818414322% of 62.56