176.76 is what percent of 462.7 - 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 462.7 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 462.7, so we can write it down as 100%=462.7.
4. We know, that x% equals 176.76 of the output value, so we can write it down as x%=176.76.
5. Now we have two simple equations:
1) 100%=462.7
2) x%=176.76
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%=462.7/176.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 176.76 is what percent of 462.7

100%/x%=462.7/176.76
(100/x)*x=(462.7/176.76)*x       - we multiply both sides of the equation by x
100=2.6176736818285*x       - we divide both sides of the equation by (2.6176736818285) to get x
100/2.6176736818285=x
38.201858655716=x
x=38.201858655716

now we have:
176.76 is 38.201858655716% of 462.7