35.65 is what percent of 574.9 - 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 574.9 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 574.9, so we can write it down as 100%=574.9.
4. We know, that x% equals 35.65 of the output value, so we can write it down as x%=35.65.
5. Now we have two simple equations:
1) 100%=574.9
2) x%=35.65
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%=574.9/35.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.65 is what percent of 574.9

100%/x%=574.9/35.65
(100/x)*x=(574.9/35.65)*x       - we multiply both sides of the equation by x
100=16.126227208976*x       - we divide both sides of the equation by (16.126227208976) to get x
100/16.126227208976=x
6.2010784484258=x
x=6.2010784484258

now we have:
35.65 is 6.2010784484258% of 574.9