27.56 is what percent of 313.78 - 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 313.78 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 313.78, so we can write it down as 100%=313.78.
4. We know, that x% equals 27.56 of the output value, so we can write it down as x%=27.56.
5. Now we have two simple equations:
1) 100%=313.78
2) x%=27.56
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%=313.78/27.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.56 is what percent of 313.78

100%/x%=313.78/27.56
(100/x)*x=(313.78/27.56)*x       - we multiply both sides of the equation by x
100=11.38534107402*x       - we divide both sides of the equation by (11.38534107402) to get x
100/11.38534107402=x
8.7832239148448=x
x=8.7832239148448

now we have:
27.56 is 8.7832239148448% of 313.78