52.01 is what percent of 103.19 - 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 103.19 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 103.19, so we can write it down as 100%=103.19.
4. We know, that x% equals 52.01 of the output value, so we can write it down as x%=52.01.
5. Now we have two simple equations:
1) 100%=103.19
2) x%=52.01
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%=103.19/52.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52.01 is what percent of 103.19

100%/x%=103.19/52.01
(100/x)*x=(103.19/52.01)*x       - we multiply both sides of the equation by x
100=1.9840415304749*x       - we divide both sides of the equation by (1.9840415304749) to get x
100/1.9840415304749=x
50.40217075298=x
x=50.40217075298

now we have:
52.01 is 50.40217075298% of 103.19