7.58 is what percent of 15.7 - 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 15.7 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 15.7, so we can write it down as 100%=15.7.
4. We know, that x% equals 7.58 of the output value, so we can write it down as x%=7.58.
5. Now we have two simple equations:
1) 100%=15.7
2) x%=7.58
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%=15.7/7.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.58 is what percent of 15.7

100%/x%=15.7/7.58
(100/x)*x=(15.7/7.58)*x       - we multiply both sides of the equation by x
100=2.0712401055409*x       - we divide both sides of the equation by (2.0712401055409) to get x
100/2.0712401055409=x
48.28025477707=x
x=48.28025477707

now we have:
7.58 is 48.28025477707% of 15.7