0.54 is what percent of 4213.64 - 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 4213.64 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 4213.64, so we can write it down as 100%=4213.64.
4. We know, that x% equals 0.54 of the output value, so we can write it down as x%=0.54.
5. Now we have two simple equations:
1) 100%=4213.64
2) x%=0.54
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%=4213.64/0.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.54 is what percent of 4213.64

100%/x%=4213.64/0.54
(100/x)*x=(4213.64/0.54)*x       - we multiply both sides of the equation by x
100=7803.037037037*x       - we divide both sides of the equation by (7803.037037037) to get x
100/7803.037037037=x
0.0128155229208=x
x=0.0128155229208

now we have:
0.54 is 0.0128155229208% of 4213.64