0.21 is what percent of 121.28 - 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 121.28 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 121.28, so we can write it down as 100%=121.28.
4. We know, that x% equals 0.21 of the output value, so we can write it down as x%=0.21.
5. Now we have two simple equations:
1) 100%=121.28
2) x%=0.21
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%=121.28/0.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.21 is what percent of 121.28

100%/x%=121.28/0.21
(100/x)*x=(121.28/0.21)*x       - we multiply both sides of the equation by x
100=577.52380952381*x       - we divide both sides of the equation by (577.52380952381) to get x
100/577.52380952381=x
0.17315303430079=x
x=0.17315303430079

now we have:
0.21 is 0.17315303430079% of 121.28