21 is what percent of 4603 - 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 4603 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 4603, so we can write it down as 100%=4603.
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%=4603
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%=4603/21
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 4603

100%/x%=4603/21
(100/x)*x=(4603/21)*x       - we multiply both sides of the equation by x
100=219.19047619048*x       - we divide both sides of the equation by (219.19047619048) to get x
100/219.19047619048=x
0.45622420160765=x
x=0.45622420160765

now we have:
21 is 0.45622420160765% of 4603