0.22 is what percent of 74.23 - 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 74.23 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 74.23, so we can write it down as 100%=74.23.
4. We know, that x% equals 0.22 of the output value, so we can write it down as x%=0.22.
5. Now we have two simple equations:
1) 100%=74.23
2) x%=0.22
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%=74.23/0.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.22 is what percent of 74.23

100%/x%=74.23/0.22
(100/x)*x=(74.23/0.22)*x       - we multiply both sides of the equation by x
100=337.40909090909*x       - we divide both sides of the equation by (337.40909090909) to get x
100/337.40909090909=x
0.29637612825003=x
x=0.29637612825003

now we have:
0.22 is 0.29637612825003% of 74.23