53.61 is what percent of 78.96 - 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 78.96 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 78.96, so we can write it down as 100%=78.96.
4. We know, that x% equals 53.61 of the output value, so we can write it down as x%=53.61.
5. Now we have two simple equations:
1) 100%=78.96
2) x%=53.61
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%=78.96/53.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53.61 is what percent of 78.96

100%/x%=78.96/53.61
(100/x)*x=(78.96/53.61)*x       - we multiply both sides of the equation by x
100=1.4728595411304*x       - we divide both sides of the equation by (1.4728595411304) to get x
100/1.4728595411304=x
67.895136778116=x
x=67.895136778116

now we have:
53.61 is 67.895136778116% of 78.96