42.66 is what percent of 46.8 - 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 46.8 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 46.8, so we can write it down as 100%=46.8.
4. We know, that x% equals 42.66 of the output value, so we can write it down as x%=42.66.
5. Now we have two simple equations:
1) 100%=46.8
2) x%=42.66
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%=46.8/42.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.66 is what percent of 46.8

100%/x%=46.8/42.66
(100/x)*x=(46.8/42.66)*x       - we multiply both sides of the equation by x
100=1.0970464135021*x       - we divide both sides of the equation by (1.0970464135021) to get x
100/1.0970464135021=x
91.153846153846=x
x=91.153846153846

now we have:
42.66 is 91.153846153846% of 46.8