890.91 is what percent of 1006.8 - 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 1006.8 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 1006.8, so we can write it down as 100%=1006.8.
4. We know, that x% equals 890.91 of the output value, so we can write it down as x%=890.91.
5. Now we have two simple equations:
1) 100%=1006.8
2) x%=890.91
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%=1006.8/890.91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 890.91 is what percent of 1006.8

100%/x%=1006.8/890.91
(100/x)*x=(1006.8/890.91)*x       - we multiply both sides of the equation by x
100=1.1300804795097*x       - we divide both sides of the equation by (1.1300804795097) to get x
100/1.1300804795097=x
88.489272943981=x
x=88.489272943981

now we have:
890.91 is 88.489272943981% of 1006.8