176.48 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 176.48 of the output value, so we can write it down as x%=176.48.
5. Now we have two simple equations:
1) 100%=513
2) x%=176.48
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%=513/176.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 176.48 is what percent of 513

100%/x%=513/176.48
(100/x)*x=(513/176.48)*x       - we multiply both sides of the equation by x
100=2.9068449682684*x       - we divide both sides of the equation by (2.9068449682684) to get x
100/2.9068449682684=x
34.401559454191=x
x=34.401559454191

now we have:
176.48 is 34.401559454191% of 513