46.46 is what percent of 269.5 - 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 269.5 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 269.5, so we can write it down as 100%=269.5.
4. We know, that x% equals 46.46 of the output value, so we can write it down as x%=46.46.
5. Now we have two simple equations:
1) 100%=269.5
2) x%=46.46
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%=269.5/46.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.46 is what percent of 269.5

100%/x%=269.5/46.46
(100/x)*x=(269.5/46.46)*x       - we multiply both sides of the equation by x
100=5.8006887645286*x       - we divide both sides of the equation by (5.8006887645286) to get x
100/5.8006887645286=x
17.239332096475=x
x=17.239332096475

now we have:
46.46 is 17.239332096475% of 269.5