74.62 is what percent of 1203.5 - 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 1203.5 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 1203.5, so we can write it down as 100%=1203.5.
4. We know, that x% equals 74.62 of the output value, so we can write it down as x%=74.62.
5. Now we have two simple equations:
1) 100%=1203.5
2) x%=74.62
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%=1203.5/74.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 74.62 is what percent of 1203.5

100%/x%=1203.5/74.62
(100/x)*x=(1203.5/74.62)*x       - we multiply both sides of the equation by x
100=16.128383811311*x       - we divide both sides of the equation by (16.128383811311) to get x
100/16.128383811311=x
6.2002492729539=x
x=6.2002492729539

now we have:
74.62 is 6.2002492729539% of 1203.5