83.73 is what percent of 27.6 - 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 27.6 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 27.6, so we can write it down as 100%=27.6.
4. We know, that x% equals 83.73 of the output value, so we can write it down as x%=83.73.
5. Now we have two simple equations:
1) 100%=27.6
2) x%=83.73
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%=27.6/83.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 83.73 is what percent of 27.6

100%/x%=27.6/83.73
(100/x)*x=(27.6/83.73)*x       - we multiply both sides of the equation by x
100=0.32963095664636*x       - we divide both sides of the equation by (0.32963095664636) to get x
100/0.32963095664636=x
303.36956521739=x
x=303.36956521739

now we have:
83.73 is 303.36956521739% of 27.6