10.08 is what percent of 782.11 - 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 782.11 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 782.11, so we can write it down as 100%=782.11.
4. We know, that x% equals 10.08 of the output value, so we can write it down as x%=10.08.
5. Now we have two simple equations:
1) 100%=782.11
2) x%=10.08
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%=782.11/10.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.08 is what percent of 782.11

100%/x%=782.11/10.08
(100/x)*x=(782.11/10.08)*x       - we multiply both sides of the equation by x
100=77.590277777778*x       - we divide both sides of the equation by (77.590277777778) to get x
100/77.590277777778=x
1.2888212655509=x
x=1.2888212655509

now we have:
10.08 is 1.2888212655509% of 782.11