8.95 is what percent of 782.24 - 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 782.24 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 782.24, so we can write it down as 100%=782.24.
4. We know, that x% equals 8.95 of the output value, so we can write it down as x%=8.95.
5. Now we have two simple equations:
1) 100%=782.24
2) x%=8.95
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%=782.24/8.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.95 is what percent of 782.24

100%/x%=782.24/8.95
(100/x)*x=(782.24/8.95)*x       - we multiply both sides of the equation by x
100=87.401117318436*x       - we divide both sides of the equation by (87.401117318436) to get x
100/87.401117318436=x
1.1441501329515=x
x=1.1441501329515

now we have:
8.95 is 1.1441501329515% of 782.24