42.66 is what percent of 465 - 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 465 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 465, so we can write it down as 100%=465.
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%=465
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%=465/42.66
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 465

100%/x%=465/42.66
(100/x)*x=(465/42.66)*x       - we multiply both sides of the equation by x
100=10.900140646976*x       - we divide both sides of the equation by (10.900140646976) to get x
100/10.900140646976=x
9.1741935483871=x
x=9.1741935483871

now we have:
42.66 is 9.1741935483871% of 465