22.2 is what percent of 78.57 - 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 78.57 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 78.57, so we can write it down as 100%=78.57.
4. We know, that x% equals 22.2 of the output value, so we can write it down as x%=22.2.
5. Now we have two simple equations:
1) 100%=78.57
2) x%=22.2
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%=78.57/22.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.2 is what percent of 78.57

100%/x%=78.57/22.2
(100/x)*x=(78.57/22.2)*x       - we multiply both sides of the equation by x
100=3.5391891891892*x       - we divide both sides of the equation by (3.5391891891892) to get x
100/3.5391891891892=x
28.255059182894=x
x=28.255059182894

now we have:
22.2 is 28.255059182894% of 78.57