21 is what percent of 1627 - 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 1627 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 1627, so we can write it down as 100%=1627.
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%=1627
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%=1627/21
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 1627

100%/x%=1627/21
(100/x)*x=(1627/21)*x       - we multiply both sides of the equation by x
100=77.47619047619*x       - we divide both sides of the equation by (77.47619047619) to get x
100/77.47619047619=x
1.2907191149355=x
x=1.2907191149355

now we have:
21 is 1.2907191149355% of 1627