112.33 is what percent of 1675.8 - 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 1675.8 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 1675.8, so we can write it down as 100%=1675.8.
4. We know, that x% equals 112.33 of the output value, so we can write it down as x%=112.33.
5. Now we have two simple equations:
1) 100%=1675.8
2) x%=112.33
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%=1675.8/112.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 112.33 is what percent of 1675.8

100%/x%=1675.8/112.33
(100/x)*x=(1675.8/112.33)*x       - we multiply both sides of the equation by x
100=14.918543576961*x       - we divide both sides of the equation by (14.918543576961) to get x
100/14.918543576961=x
6.703067191789=x
x=6.703067191789

now we have:
112.33 is 6.703067191789% of 1675.8