79.96 is what percent of 174.16 - 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 174.16 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 174.16, so we can write it down as 100%=174.16.
4. We know, that x% equals 79.96 of the output value, so we can write it down as x%=79.96.
5. Now we have two simple equations:
1) 100%=174.16
2) x%=79.96
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%=174.16/79.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 79.96 is what percent of 174.16

100%/x%=174.16/79.96
(100/x)*x=(174.16/79.96)*x       - we multiply both sides of the equation by x
100=2.1780890445223*x       - we divide both sides of the equation by (2.1780890445223) to get x
100/2.1780890445223=x
45.911805236564=x
x=45.911805236564

now we have:
79.96 is 45.911805236564% of 174.16