222.78 is what percent of 2333.33 - 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 2333.33 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 2333.33, so we can write it down as 100%=2333.33.
4. We know, that x% equals 222.78 of the output value, so we can write it down as x%=222.78.
5. Now we have two simple equations:
1) 100%=2333.33
2) x%=222.78
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%=2333.33/222.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 222.78 is what percent of 2333.33

100%/x%=2333.33/222.78
(100/x)*x=(2333.33/222.78)*x       - we multiply both sides of the equation by x
100=10.473696022982*x       - we divide both sides of the equation by (10.473696022982) to get x
100/10.473696022982=x
9.5477279253256=x
x=9.5477279253256

now we have:
222.78 is 9.5477279253256% of 2333.33