0.27 is what percent of 47.02 - 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 47.02 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 47.02, so we can write it down as 100%=47.02.
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%=47.02
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%=47.02/0.27
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 47.02

100%/x%=47.02/0.27
(100/x)*x=(47.02/0.27)*x       - we multiply both sides of the equation by x
100=174.14814814815*x       - we divide both sides of the equation by (174.14814814815) to get x
100/174.14814814815=x
0.57422373458103=x
x=0.57422373458103

now we have:
0.27 is 0.57422373458103% of 47.02