78.9 is what percent of 102.6 - 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 102.6 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 102.6, so we can write it down as 100%=102.6.
4. We know, that x% equals 78.9 of the output value, so we can write it down as x%=78.9.
5. Now we have two simple equations:
1) 100%=102.6
2) x%=78.9
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%=102.6/78.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 78.9 is what percent of 102.6

100%/x%=102.6/78.9
(100/x)*x=(102.6/78.9)*x       - we multiply both sides of the equation by x
100=1.3003802281369*x       - we divide both sides of the equation by (1.3003802281369) to get x
100/1.3003802281369=x
76.900584795322=x
x=76.900584795322

now we have:
78.9 is 76.900584795322% of 102.6