What is 752.5 percent of 1.01 - 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 1.01 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 1.01 is 100%, so we can write it down as 1.01=100%.
4. We know, that x is 752.5% of the output value, so we can write it down as x=752.5%.
5. Now we have two simple equations:
1) 1.01=100%
2) x=752.5%
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:
1.01/x=100%/752.5%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 752.5% of 1.01

1.01/x=100/752.5
(1.01/x)*x=(100/752.5)*x       - we multiply both sides of the equation by x
1.01=0.1328903654485*x       - we divide both sides of the equation by (0.1328903654485) to get x
1.01/0.1328903654485=x
7.60025=x
x=7.60025

now we have:
752.5% of 1.01=7.60025