749.7 is what percent of 767.7 - 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 767.7 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 767.7, so we can write it down as 100%=767.7.
4. We know, that x% equals 749.7 of the output value, so we can write it down as x%=749.7.
5. Now we have two simple equations:
1) 100%=767.7
2) x%=749.7
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%=767.7/749.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 749.7 is what percent of 767.7

100%/x%=767.7/749.7
(100/x)*x=(767.7/749.7)*x       - we multiply both sides of the equation by x
100=1.0240096038415*x       - we divide both sides of the equation by (1.0240096038415) to get x
100/1.0240096038415=x
97.655334114889=x
x=97.655334114889

now we have:
749.7 is 97.655334114889% of 767.7