0.53 is what percent of 1.01 - 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 1.01 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 1.01, so we can write it down as 100%=1.01.
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%=1.01
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%=1.01/0.53
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 1.01

100%/x%=1.01/0.53
(100/x)*x=(1.01/0.53)*x       - we multiply both sides of the equation by x
100=1.9056603773585*x       - we divide both sides of the equation by (1.9056603773585) to get x
100/1.9056603773585=x
52.475247524752=x
x=52.475247524752

now we have:
0.53 is 52.475247524752% of 1.01