78.2 is what percent of 82.3 - 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 82.3 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 82.3, so we can write it down as 100%=82.3.
4. We know, that x% equals 78.2 of the output value, so we can write it down as x%=78.2.
5. Now we have two simple equations:
1) 100%=82.3
2) x%=78.2
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%=82.3/78.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 78.2 is what percent of 82.3

100%/x%=82.3/78.2
(100/x)*x=(82.3/78.2)*x       - we multiply both sides of the equation by x
100=1.0524296675192*x       - we divide both sides of the equation by (1.0524296675192) to get x
100/1.0524296675192=x
95.01822600243=x
x=95.01822600243

now we have:
78.2 is 95.01822600243% of 82.3