68.4 is what percent of 270.7 - 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 270.7 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 270.7, so we can write it down as 100%=270.7.
4. We know, that x% equals 68.4 of the output value, so we can write it down as x%=68.4.
5. Now we have two simple equations:
1) 100%=270.7
2) x%=68.4
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%=270.7/68.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 68.4 is what percent of 270.7

100%/x%=270.7/68.4
(100/x)*x=(270.7/68.4)*x       - we multiply both sides of the equation by x
100=3.9576023391813*x       - we divide both sides of the equation by (3.9576023391813) to get x
100/3.9576023391813=x
25.267824159586=x
x=25.267824159586

now we have:
68.4 is 25.267824159586% of 270.7