90 is what percent of 1247.42 - 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 1247.42 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 1247.42, so we can write it down as 100%=1247.42.
4. We know, that x% equals 90 of the output value, so we can write it down as x%=90.
5. Now we have two simple equations:
1) 100%=1247.42
2) x%=90
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%=1247.42/90
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 90 is what percent of 1247.42

100%/x%=1247.42/90
(100/x)*x=(1247.42/90)*x       - we multiply both sides of the equation by x
100=13.860222222222*x       - we divide both sides of the equation by (13.860222222222) to get x
100/13.860222222222=x
7.2148915361306=x
x=7.2148915361306

now we have:
90 is 7.2148915361306% of 1247.42