0.27 is what percent of 0.418 - 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 0.418 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 0.418, so we can write it down as 100%=0.418.
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%=0.418
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%=0.418/0.27
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 0.418

100%/x%=0.418/0.27
(100/x)*x=(0.418/0.27)*x       - we multiply both sides of the equation by x
100=1.5481481481481*x       - we divide both sides of the equation by (1.5481481481481) to get x
100/1.5481481481481=x
64.593301435407=x
x=64.593301435407

now we have:
0.27 is 64.593301435407% of 0.418