7.9 is what percent of 89.99 - 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 89.99 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 89.99, so we can write it down as 100%=89.99.
4. We know, that x% equals 7.9 of the output value, so we can write it down as x%=7.9.
5. Now we have two simple equations:
1) 100%=89.99
2) x%=7.9
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%=89.99/7.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.9 is what percent of 89.99

100%/x%=89.99/7.9
(100/x)*x=(89.99/7.9)*x       - we multiply both sides of the equation by x
100=11.391139240506*x       - we divide both sides of the equation by (11.391139240506) to get x
100/11.391139240506=x
8.7787531947994=x
x=8.7787531947994

now we have:
7.9 is 8.7787531947994% of 89.99