21 is what percent of 2959 - 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 2959 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 2959, so we can write it down as 100%=2959.
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%=2959
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%=2959/21
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 2959

100%/x%=2959/21
(100/x)*x=(2959/21)*x       - we multiply both sides of the equation by x
100=140.90476190476*x       - we divide both sides of the equation by (140.90476190476) to get x
100/140.90476190476=x
0.70969922271038=x
x=0.70969922271038

now we have:
21 is 0.70969922271038% of 2959