21 is what percent of 2010 - 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 2010 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 2010, so we can write it down as 100%=2010.
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%=2010
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%=2010/21
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 2010

100%/x%=2010/21
(100/x)*x=(2010/21)*x       - we multiply both sides of the equation by x
100=95.714285714286*x       - we divide both sides of the equation by (95.714285714286) to get x
100/95.714285714286=x
1.044776119403=x
x=1.044776119403

now we have:
21 is 1.044776119403% of 2010