1.01 is what percent of 20.83 - 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 20.83 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 20.83, so we can write it down as 100%=20.83.
4. We know, that x% equals 1.01 of the output value, so we can write it down as x%=1.01.
5. Now we have two simple equations:
1) 100%=20.83
2) x%=1.01
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%=20.83/1.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.01 is what percent of 20.83

100%/x%=20.83/1.01
(100/x)*x=(20.83/1.01)*x       - we multiply both sides of the equation by x
100=20.623762376238*x       - we divide both sides of the equation by (20.623762376238) to get x
100/20.623762376238=x
4.8487758041287=x
x=4.8487758041287

now we have:
1.01 is 4.8487758041287% of 20.83