100.98 is what percent of 1654 - 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 1654 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 1654, so we can write it down as 100%=1654.
4. We know, that x% equals 100.98 of the output value, so we can write it down as x%=100.98.
5. Now we have two simple equations:
1) 100%=1654
2) x%=100.98
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%=1654/100.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 100.98 is what percent of 1654

100%/x%=1654/100.98
(100/x)*x=(1654/100.98)*x       - we multiply both sides of the equation by x
100=16.379481085363*x       - we divide both sides of the equation by (16.379481085363) to get x
100/16.379481085363=x
6.1051995163241=x
x=6.1051995163241

now we have:
100.98 is 6.1051995163241% of 1654