101.36 is what percent of 773.95 - 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 773.95 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 773.95, so we can write it down as 100%=773.95.
4. We know, that x% equals 101.36 of the output value, so we can write it down as x%=101.36.
5. Now we have two simple equations:
1) 100%=773.95
2) x%=101.36
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%=773.95/101.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 101.36 is what percent of 773.95

100%/x%=773.95/101.36
(100/x)*x=(773.95/101.36)*x       - we multiply both sides of the equation by x
100=7.6356550907656*x       - we divide both sides of the equation by (7.6356550907656) to get x
100/7.6356550907656=x
13.096453259254=x
x=13.096453259254

now we have:
101.36 is 13.096453259254% of 773.95