21 is what percent of 35.09 - 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 35.09 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 35.09, so we can write it down as 100%=35.09.
4. We know, that x% equals 21 of the output value, so we can write it down as x%=21.
5. Now we have two simple equations:
1) 100%=35.09
2) x%=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%=35.09/21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21 is what percent of 35.09

100%/x%=35.09/21
(100/x)*x=(35.09/21)*x       - we multiply both sides of the equation by x
100=1.6709523809524*x       - we divide both sides of the equation by (1.6709523809524) to get x
100/1.6709523809524=x
59.84611000285=x
x=59.84611000285

now we have:
21 is 59.84611000285% of 35.09