29.6 is what percent of 53.3 - 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 53.3 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 53.3, so we can write it down as 100%=53.3.
4. We know, that x% equals 29.6 of the output value, so we can write it down as x%=29.6.
5. Now we have two simple equations:
1) 100%=53.3
2) x%=29.6
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%=53.3/29.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.6 is what percent of 53.3

100%/x%=53.3/29.6
(100/x)*x=(53.3/29.6)*x       - we multiply both sides of the equation by x
100=1.8006756756757*x       - we divide both sides of the equation by (1.8006756756757) to get x
100/1.8006756756757=x
55.534709193246=x
x=55.534709193246

now we have:
29.6 is 55.534709193246% of 53.3