7.12 is what percent of 22.21 - 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 22.21 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 22.21, so we can write it down as 100%=22.21.
4. We know, that x% equals 7.12 of the output value, so we can write it down as x%=7.12.
5. Now we have two simple equations:
1) 100%=22.21
2) x%=7.12
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%=22.21/7.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.12 is what percent of 22.21

100%/x%=22.21/7.12
(100/x)*x=(22.21/7.12)*x       - we multiply both sides of the equation by x
100=3.1193820224719*x       - we divide both sides of the equation by (3.1193820224719) to get x
100/3.1193820224719=x
32.057631697434=x
x=32.057631697434

now we have:
7.12 is 32.057631697434% of 22.21