79.42 is what percent of 173.51 - 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 173.51 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 173.51, so we can write it down as 100%=173.51.
4. We know, that x% equals 79.42 of the output value, so we can write it down as x%=79.42.
5. Now we have two simple equations:
1) 100%=173.51
2) x%=79.42
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%=173.51/79.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 79.42 is what percent of 173.51

100%/x%=173.51/79.42
(100/x)*x=(173.51/79.42)*x       - we multiply both sides of the equation by x
100=2.184714177789*x       - we divide both sides of the equation by (2.184714177789) to get x
100/2.184714177789=x
45.772577949398=x
x=45.772577949398

now we have:
79.42 is 45.772577949398% of 173.51