27.7 is what percent of 540 - 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 540 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 540, so we can write it down as 100%=540.
4. We know, that x% equals 27.7 of the output value, so we can write it down as x%=27.7.
5. Now we have two simple equations:
1) 100%=540
2) x%=27.7
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%=540/27.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.7 is what percent of 540

100%/x%=540/27.7
(100/x)*x=(540/27.7)*x       - we multiply both sides of the equation by x
100=19.494584837545*x       - we divide both sides of the equation by (19.494584837545) to get x
100/19.494584837545=x
5.1296296296296=x
x=5.1296296296296

now we have:
27.7 is 5.1296296296296% of 540