415.67 is what percent of 675.09 - 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 675.09 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 675.09, so we can write it down as 100%=675.09.
4. We know, that x% equals 415.67 of the output value, so we can write it down as x%=415.67.
5. Now we have two simple equations:
1) 100%=675.09
2) x%=415.67
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%=675.09/415.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 415.67 is what percent of 675.09

100%/x%=675.09/415.67
(100/x)*x=(675.09/415.67)*x       - we multiply both sides of the equation by x
100=1.6241008492314*x       - we divide both sides of the equation by (1.6241008492314) to get x
100/1.6241008492314=x
61.572531069931=x
x=61.572531069931

now we have:
415.67 is 61.572531069931% of 675.09