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

7. Solution for 799.99 is what percent of 749.99

100%/x%=749.99/799.99
(100/x)*x=(749.99/799.99)*x       - we multiply both sides of the equation by x
100=0.93749921874023*x       - we divide both sides of the equation by (0.93749921874023) to get x
100/0.93749921874023=x
106.66675555674=x
x=106.66675555674

now we have:
799.99 is 106.66675555674% of 749.99