176.99 is what percent of 342.83 - 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 342.83 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 342.83, so we can write it down as 100%=342.83.
4. We know, that x% equals 176.99 of the output value, so we can write it down as x%=176.99.
5. Now we have two simple equations:
1) 100%=342.83
2) x%=176.99
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%=342.83/176.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 176.99 is what percent of 342.83

100%/x%=342.83/176.99
(100/x)*x=(342.83/176.99)*x       - we multiply both sides of the equation by x
100=1.9370020905136*x       - we divide both sides of the equation by (1.9370020905136) to get x
100/1.9370020905136=x
51.626170405157=x
x=51.626170405157

now we have:
176.99 is 51.626170405157% of 342.83