22.33 is what percent of 33.7 - 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 33.7 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 33.7, so we can write it down as 100%=33.7.
4. We know, that x% equals 22.33 of the output value, so we can write it down as x%=22.33.
5. Now we have two simple equations:
1) 100%=33.7
2) x%=22.33
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%=33.7/22.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.33 is what percent of 33.7

100%/x%=33.7/22.33
(100/x)*x=(33.7/22.33)*x       - we multiply both sides of the equation by x
100=1.5091804746977*x       - we divide both sides of the equation by (1.5091804746977) to get x
100/1.5091804746977=x
66.261127596439=x
x=66.261127596439

now we have:
22.33 is 66.261127596439% of 33.7