176.91 is what percent of 301.15 - 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 301.15 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 301.15, so we can write it down as 100%=301.15.
4. We know, that x% equals 176.91 of the output value, so we can write it down as x%=176.91.
5. Now we have two simple equations:
1) 100%=301.15
2) x%=176.91
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%=301.15/176.91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 176.91 is what percent of 301.15

100%/x%=301.15/176.91
(100/x)*x=(301.15/176.91)*x       - we multiply both sides of the equation by x
100=1.7022779944605*x       - we divide both sides of the equation by (1.7022779944605) to get x
100/1.7022779944605=x
58.744811555703=x
x=58.744811555703

now we have:
176.91 is 58.744811555703% of 301.15