273.68 is what percent of 342.08 - 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 342.08 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 342.08, so we can write it down as 100%=342.08.
4. We know, that x% equals 273.68 of the output value, so we can write it down as x%=273.68.
5. Now we have two simple equations:
1) 100%=342.08
2) x%=273.68
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%=342.08/273.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 273.68 is what percent of 342.08

100%/x%=342.08/273.68
(100/x)*x=(342.08/273.68)*x       - we multiply both sides of the equation by x
100=1.2499269219526*x       - we divide both sides of the equation by (1.2499269219526) to get x
100/1.2499269219526=x
80.004677268475=x
x=80.004677268475

now we have:
273.68 is 80.004677268475% of 342.08