46 is what percent of 922 - 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 922 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 922, so we can write it down as 100%=922.
4. We know, that x% equals 46 of the output value, so we can write it down as x%=46.
5. Now we have two simple equations:
1) 100%=922
2) x%=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%=922/46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46 is what percent of 922

100%/x%=922/46
(100/x)*x=(922/46)*x       - we multiply both sides of the equation by x
100=20.04347826087*x       - we divide both sides of the equation by (20.04347826087) to get x
100/20.04347826087=x
4.9891540130152=x
x=4.9891540130152

now we have:
46 is 4.9891540130152% of 922