840.2 is what percent of 874 - 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 874 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 874, so we can write it down as 100%=874.
4. We know, that x% equals 840.2 of the output value, so we can write it down as x%=840.2.
5. Now we have two simple equations:
1) 100%=874
2) x%=840.2
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%=874/840.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 840.2 is what percent of 874

100%/x%=874/840.2
(100/x)*x=(874/840.2)*x       - we multiply both sides of the equation by x
100=1.0402285170198*x       - we divide both sides of the equation by (1.0402285170198) to get x
100/1.0402285170198=x
96.132723112128=x
x=96.132723112128

now we have:
840.2 is 96.132723112128% of 874