24.14 is what percent of 290.78 - 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 290.78 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 290.78, so we can write it down as 100%=290.78.
4. We know, that x% equals 24.14 of the output value, so we can write it down as x%=24.14.
5. Now we have two simple equations:
1) 100%=290.78
2) x%=24.14
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%=290.78/24.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.14 is what percent of 290.78

100%/x%=290.78/24.14
(100/x)*x=(290.78/24.14)*x       - we multiply both sides of the equation by x
100=12.045567522784*x       - we divide both sides of the equation by (12.045567522784) to get x
100/12.045567522784=x
8.3018089277117=x
x=8.3018089277117

now we have:
24.14 is 8.3018089277117% of 290.78