100.84 is what percent of 1512 - 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 1512 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 1512, so we can write it down as 100%=1512.
4. We know, that x% equals 100.84 of the output value, so we can write it down as x%=100.84.
5. Now we have two simple equations:
1) 100%=1512
2) x%=100.84
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%=1512/100.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 100.84 is what percent of 1512

100%/x%=1512/100.84
(100/x)*x=(1512/100.84)*x       - we multiply both sides of the equation by x
100=14.994049980167*x       - we divide both sides of the equation by (14.994049980167) to get x
100/14.994049980167=x
6.6693121693122=x
x=6.6693121693122

now we have:
100.84 is 6.6693121693122% of 1512