78 is what percent of 22.2 - 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 22.2 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 22.2, so we can write it down as 100%=22.2.
4. We know, that x% equals 78 of the output value, so we can write it down as x%=78.
5. Now we have two simple equations:
1) 100%=22.2
2) x%=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%=22.2/78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 78 is what percent of 22.2

100%/x%=22.2/78
(100/x)*x=(22.2/78)*x       - we multiply both sides of the equation by x
100=0.28461538461538*x       - we divide both sides of the equation by (0.28461538461538) to get x
100/0.28461538461538=x
351.35135135135=x
x=351.35135135135

now we have:
78 is 351.35135135135% of 22.2