42.94 is what percent of 969 - 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 969 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 969, so we can write it down as 100%=969.
4. We know, that x% equals 42.94 of the output value, so we can write it down as x%=42.94.
5. Now we have two simple equations:
1) 100%=969
2) x%=42.94
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%=969/42.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.94 is what percent of 969

100%/x%=969/42.94
(100/x)*x=(969/42.94)*x       - we multiply both sides of the equation by x
100=22.566371681416*x       - we divide both sides of the equation by (22.566371681416) to get x
100/22.566371681416=x
4.4313725490196=x
x=4.4313725490196

now we have:
42.94 is 4.4313725490196% of 969