0.27 is what percent of 27.13 - 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 27.13 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 27.13, so we can write it down as 100%=27.13.
4. We know, that x% equals 0.27 of the output value, so we can write it down as x%=0.27.
5. Now we have two simple equations:
1) 100%=27.13
2) x%=0.27
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%=27.13/0.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.27 is what percent of 27.13

100%/x%=27.13/0.27
(100/x)*x=(27.13/0.27)*x       - we multiply both sides of the equation by x
100=100.48148148148*x       - we divide both sides of the equation by (100.48148148148) to get x
100/100.48148148148=x
0.99520825654257=x
x=0.99520825654257

now we have:
0.27 is 0.99520825654257% of 27.13