841.4 is what percent of 1.008 - 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 1.008 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 1.008, so we can write it down as 100%=1.008.
4. We know, that x% equals 841.4 of the output value, so we can write it down as x%=841.4.
5. Now we have two simple equations:
1) 100%=1.008
2) x%=841.4
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%=1.008/841.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 841.4 is what percent of 1.008

100%/x%=1.008/841.4
(100/x)*x=(1.008/841.4)*x       - we multiply both sides of the equation by x
100=0.001198003327787*x       - we divide both sides of the equation by (0.001198003327787) to get x
100/0.001198003327787=x
83472.222222222=x
x=83472.222222222

now we have:
841.4 is 83472.222222222% of 1.008