742.46 is what percent of 7.835 - 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 7.835 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 7.835, so we can write it down as 100%=7.835.
4. We know, that x% equals 742.46 of the output value, so we can write it down as x%=742.46.
5. Now we have two simple equations:
1) 100%=7.835
2) x%=742.46
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%=7.835/742.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 742.46 is what percent of 7.835

100%/x%=7.835/742.46
(100/x)*x=(7.835/742.46)*x       - we multiply both sides of the equation by x
100=0.010552757050885*x       - we divide both sides of the equation by (0.010552757050885) to get x
100/0.010552757050885=x
9476.1965539247=x
x=9476.1965539247

now we have:
742.46 is 9476.1965539247% of 7.835