0.28 is what percent of 34.48 - 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 34.48 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 34.48, so we can write it down as 100%=34.48.
4. We know, that x% equals 0.28 of the output value, so we can write it down as x%=0.28.
5. Now we have two simple equations:
1) 100%=34.48
2) x%=0.28
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%=34.48/0.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.28 is what percent of 34.48

100%/x%=34.48/0.28
(100/x)*x=(34.48/0.28)*x       - we multiply both sides of the equation by x
100=123.14285714286*x       - we divide both sides of the equation by (123.14285714286) to get x
100/123.14285714286=x
0.81206496519722=x
x=0.81206496519722

now we have:
0.28 is 0.81206496519722% of 34.48