53.96 is what percent of 101.96 - 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 101.96 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 101.96, so we can write it down as 100%=101.96.
4. We know, that x% equals 53.96 of the output value, so we can write it down as x%=53.96.
5. Now we have two simple equations:
1) 100%=101.96
2) x%=53.96
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%=101.96/53.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53.96 is what percent of 101.96

100%/x%=101.96/53.96
(100/x)*x=(101.96/53.96)*x       - we multiply both sides of the equation by x
100=1.889547813195*x       - we divide both sides of the equation by (1.889547813195) to get x
100/1.889547813195=x
52.922714790114=x
x=52.922714790114

now we have:
53.96 is 52.922714790114% of 101.96