What is 100.2 percent of 53 - 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 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 53 is 100%, so we can write it down as 53=100%.
4. We know, that x is 100.2% of the output value, so we can write it down as x=100.2%.
5. Now we have two simple equations:
1) 53=100%
2) x=100.2%
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:
53/x=100%/100.2%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 100.2% of 53

53/x=100/100.2
(53/x)*x=(100/100.2)*x       - we multiply both sides of the equation by x
53=0.99800399201597*x       - we divide both sides of the equation by (0.99800399201597) to get x
53/0.99800399201597=x
53.106=x
x=53.106

now we have:
100.2% of 53=53.106