174.59 is what percent of 3347.5 - 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 3347.5 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 3347.5, so we can write it down as 100%=3347.5.
4. We know, that x% equals 174.59 of the output value, so we can write it down as x%=174.59.
5. Now we have two simple equations:
1) 100%=3347.5
2) x%=174.59
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%=3347.5/174.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 174.59 is what percent of 3347.5

100%/x%=3347.5/174.59
(100/x)*x=(3347.5/174.59)*x       - we multiply both sides of the equation by x
100=19.173492181683*x       - we divide both sides of the equation by (19.173492181683) to get x
100/19.173492181683=x
5.2155339805825=x
x=5.2155339805825

now we have:
174.59 is 5.2155339805825% of 3347.5