101.96 is what percent of 742 - 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 742 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 742, so we can write it down as 100%=742.
4. We know, that x% equals 101.96 of the output value, so we can write it down as x%=101.96.
5. Now we have two simple equations:
1) 100%=742
2) x%=101.96
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%=742/101.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 101.96 is what percent of 742

100%/x%=742/101.96
(100/x)*x=(742/101.96)*x       - we multiply both sides of the equation by x
100=7.2773636720282*x       - we divide both sides of the equation by (7.2773636720282) to get x
100/7.2773636720282=x
13.741239892183=x
x=13.741239892183

now we have:
101.96 is 13.741239892183% of 742