179.81 is what percent of 342.53 - 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 342.53 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 342.53, so we can write it down as 100%=342.53.
4. We know, that x% equals 179.81 of the output value, so we can write it down as x%=179.81.
5. Now we have two simple equations:
1) 100%=342.53
2) x%=179.81
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%=342.53/179.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 179.81 is what percent of 342.53

100%/x%=342.53/179.81
(100/x)*x=(342.53/179.81)*x       - we multiply both sides of the equation by x
100=1.9049552305211*x       - we divide both sides of the equation by (1.9049552305211) to get x
100/1.9049552305211=x
52.494671999533=x
x=52.494671999533

now we have:
179.81 is 52.494671999533% of 342.53