74.23 is what percent of 1277.29 - 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 1277.29 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 1277.29, so we can write it down as 100%=1277.29.
4. We know, that x% equals 74.23 of the output value, so we can write it down as x%=74.23.
5. Now we have two simple equations:
1) 100%=1277.29
2) x%=74.23
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%=1277.29/74.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 74.23 is what percent of 1277.29

100%/x%=1277.29/74.23
(100/x)*x=(1277.29/74.23)*x       - we multiply both sides of the equation by x
100=17.207193856931*x       - we divide both sides of the equation by (17.207193856931) to get x
100/17.207193856931=x
5.811522833499=x
x=5.811522833499

now we have:
74.23 is 5.811522833499% of 1277.29