53.43 is what percent of 68.3 - 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 68.3 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 68.3, so we can write it down as 100%=68.3.
4. We know, that x% equals 53.43 of the output value, so we can write it down as x%=53.43.
5. Now we have two simple equations:
1) 100%=68.3
2) x%=53.43
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%=68.3/53.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53.43 is what percent of 68.3

100%/x%=68.3/53.43
(100/x)*x=(68.3/53.43)*x       - we multiply both sides of the equation by x
100=1.2783080666292*x       - we divide both sides of the equation by (1.2783080666292) to get x
100/1.2783080666292=x
78.228404099561=x
x=78.228404099561

now we have:
53.43 is 78.228404099561% of 68.3