3249 is what percent of 34142 - 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 34142 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 34142, so we can write it down as 100%=34142.
4. We know, that x% equals 3249 of the output value, so we can write it down as x%=3249.
5. Now we have two simple equations:
1) 100%=34142
2) x%=3249
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%=34142/3249
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3249 is what percent of 34142

100%/x%=34142/3249
(100/x)*x=(34142/3249)*x       - we multiply both sides of the equation by x
100=10.508464142813*x       - we divide both sides of the equation by (10.508464142813) to get x
100/10.508464142813=x
9.5161384804639=x
x=9.5161384804639

now we have:
3249 is 9.5161384804639% of 34142