17.74 is what percent of 846.5 - 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 846.5 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 846.5, so we can write it down as 100%=846.5.
4. We know, that x% equals 17.74 of the output value, so we can write it down as x%=17.74.
5. Now we have two simple equations:
1) 100%=846.5
2) x%=17.74
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%=846.5/17.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.74 is what percent of 846.5

100%/x%=846.5/17.74
(100/x)*x=(846.5/17.74)*x       - we multiply both sides of the equation by x
100=47.71702367531*x       - we divide both sides of the equation by (47.71702367531) to get x
100/47.71702367531=x
2.0956881275842=x
x=2.0956881275842

now we have:
17.74 is 2.0956881275842% of 846.5