0.53 is what percent of 105.6 - 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 105.6 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 105.6, so we can write it down as 100%=105.6.
4. We know, that x% equals 0.53 of the output value, so we can write it down as x%=0.53.
5. Now we have two simple equations:
1) 100%=105.6
2) x%=0.53
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%=105.6/0.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.53 is what percent of 105.6

100%/x%=105.6/0.53
(100/x)*x=(105.6/0.53)*x       - we multiply both sides of the equation by x
100=199.24528301887*x       - we divide both sides of the equation by (199.24528301887) to get x
100/199.24528301887=x
0.50189393939394=x
x=0.50189393939394

now we have:
0.53 is 0.50189393939394% of 105.6