191.65 is what percent of 1742.31 - 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 1742.31 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 1742.31, so we can write it down as 100%=1742.31.
4. We know, that x% equals 191.65 of the output value, so we can write it down as x%=191.65.
5. Now we have two simple equations:
1) 100%=1742.31
2) x%=191.65
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%=1742.31/191.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 191.65 is what percent of 1742.31

100%/x%=1742.31/191.65
(100/x)*x=(1742.31/191.65)*x       - we multiply both sides of the equation by x
100=9.0911035742238*x       - we divide both sides of the equation by (9.0911035742238) to get x
100/9.0911035742238=x
10.999764680223=x
x=10.999764680223

now we have:
191.65 is 10.999764680223% of 1742.31