34 is what percent of 513 - 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 513 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 513, so we can write it down as 100%=513.
4. We know, that x% equals 34 of the output value, so we can write it down as x%=34.
5. Now we have two simple equations:
1) 100%=513
2) x%=34
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%=513/34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34 is what percent of 513

100%/x%=513/34
(100/x)*x=(513/34)*x       - we multiply both sides of the equation by x
100=15.088235294118*x       - we divide both sides of the equation by (15.088235294118) to get x
100/15.088235294118=x
6.6276803118908=x
x=6.6276803118908

now we have:
34 is 6.6276803118908% of 513