0.27 is what percent of 34.26 - 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 34.26 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 34.26, so we can write it down as 100%=34.26.
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%=34.26
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%=34.26/0.27
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 34.26

100%/x%=34.26/0.27
(100/x)*x=(34.26/0.27)*x       - we multiply both sides of the equation by x
100=126.88888888889*x       - we divide both sides of the equation by (126.88888888889) to get x
100/126.88888888889=x
0.78809106830123=x
x=0.78809106830123

now we have:
0.27 is 0.78809106830123% of 34.26