79.49 is what percent of 40.34 - 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 40.34 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 40.34, so we can write it down as 100%=40.34.
4. We know, that x% equals 79.49 of the output value, so we can write it down as x%=79.49.
5. Now we have two simple equations:
1) 100%=40.34
2) x%=79.49
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%=40.34/79.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 79.49 is what percent of 40.34

100%/x%=40.34/79.49
(100/x)*x=(40.34/79.49)*x       - we multiply both sides of the equation by x
100=0.50748521826645*x       - we divide both sides of the equation by (0.50748521826645) to get x
100/0.50748521826645=x
197.05007436787=x
x=197.05007436787

now we have:
79.49 is 197.05007436787% of 40.34