179.99 is what percent of 226.99 - 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 226.99 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 226.99, so we can write it down as 100%=226.99.
4. We know, that x% equals 179.99 of the output value, so we can write it down as x%=179.99.
5. Now we have two simple equations:
1) 100%=226.99
2) x%=179.99
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%=226.99/179.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 179.99 is what percent of 226.99

100%/x%=226.99/179.99
(100/x)*x=(226.99/179.99)*x       - we multiply both sides of the equation by x
100=1.2611256180899*x       - we divide both sides of the equation by (1.2611256180899) to get x
100/1.2611256180899=x
79.294242037094=x
x=79.294242037094

now we have:
179.99 is 79.294242037094% of 226.99