20.21 is what percent of 35 - 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 35 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 35, so we can write it down as 100%=35.
4. We know, that x% equals 20.21 of the output value, so we can write it down as x%=20.21.
5. Now we have two simple equations:
1) 100%=35
2) x%=20.21
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%=35/20.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.21 is what percent of 35

100%/x%=35/20.21
(100/x)*x=(35/20.21)*x       - we multiply both sides of the equation by x
100=1.7318159327066*x       - we divide both sides of the equation by (1.7318159327066) to get x
100/1.7318159327066=x
57.742857142857=x
x=57.742857142857

now we have:
20.21 is 57.742857142857% of 35