177.1 is what percent of 204 - 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 204 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 204, so we can write it down as 100%=204.
4. We know, that x% equals 177.1 of the output value, so we can write it down as x%=177.1.
5. Now we have two simple equations:
1) 100%=204
2) x%=177.1
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%=204/177.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 177.1 is what percent of 204

100%/x%=204/177.1
(100/x)*x=(204/177.1)*x       - we multiply both sides of the equation by x
100=1.1518915866742*x       - we divide both sides of the equation by (1.1518915866742) to get x
100/1.1518915866742=x
86.813725490196=x
x=86.813725490196

now we have:
177.1 is 86.813725490196% of 204