909.8 is what percent of 1010 - 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 1010 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 1010, so we can write it down as 100%=1010.
4. We know, that x% equals 909.8 of the output value, so we can write it down as x%=909.8.
5. Now we have two simple equations:
1) 100%=1010
2) x%=909.8
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%=1010/909.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 909.8 is what percent of 1010

100%/x%=1010/909.8
(100/x)*x=(1010/909.8)*x       - we multiply both sides of the equation by x
100=1.1101340954056*x       - we divide both sides of the equation by (1.1101340954056) to get x
100/1.1101340954056=x
90.079207920792=x
x=90.079207920792

now we have:
909.8 is 90.079207920792% of 1010