749.99 is what percent of 799.99 - 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 799.99 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 799.99, so we can write it down as 100%=799.99.
4. We know, that x% equals 749.99 of the output value, so we can write it down as x%=749.99.
5. Now we have two simple equations:
1) 100%=799.99
2) x%=749.99
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%=799.99/749.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 749.99 is what percent of 799.99

100%/x%=799.99/749.99
(100/x)*x=(799.99/749.99)*x       - we multiply both sides of the equation by x
100=1.0666675555674*x       - we divide both sides of the equation by (1.0666675555674) to get x
100/1.0666675555674=x
93.749921874023=x
x=93.749921874023

now we have:
749.99 is 93.749921874023% of 799.99