3333.33 is what percent of 34500 - 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 34500 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 34500, so we can write it down as 100%=34500.
4. We know, that x% equals 3333.33 of the output value, so we can write it down as x%=3333.33.
5. Now we have two simple equations:
1) 100%=34500
2) x%=3333.33
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%=34500/3333.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3333.33 is what percent of 34500

100%/x%=34500/3333.33
(100/x)*x=(34500/3333.33)*x       - we multiply both sides of the equation by x
100=10.35001035001*x       - we divide both sides of the equation by (10.35001035001) to get x
100/10.35001035001=x
9.6618260869565=x
x=9.6618260869565

now we have:
3333.33 is 9.6618260869565% of 34500