174.29 is what percent of 2307.69 - 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 2307.69 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 2307.69, so we can write it down as 100%=2307.69.
4. We know, that x% equals 174.29 of the output value, so we can write it down as x%=174.29.
5. Now we have two simple equations:
1) 100%=2307.69
2) x%=174.29
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%=2307.69/174.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 174.29 is what percent of 2307.69

100%/x%=2307.69/174.29
(100/x)*x=(2307.69/174.29)*x       - we multiply both sides of the equation by x
100=13.24051867577*x       - we divide both sides of the equation by (13.24051867577) to get x
100/13.24051867577=x
7.5525742192409=x
x=7.5525742192409

now we have:
174.29 is 7.5525742192409% of 2307.69