179.18 is what percent of 1733.33 - 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 1733.33 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 1733.33, so we can write it down as 100%=1733.33.
4. We know, that x% equals 179.18 of the output value, so we can write it down as x%=179.18.
5. Now we have two simple equations:
1) 100%=1733.33
2) x%=179.18
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%=1733.33/179.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 179.18 is what percent of 1733.33

100%/x%=1733.33/179.18
(100/x)*x=(1733.33/179.18)*x       - we multiply both sides of the equation by x
100=9.6736800982252*x       - we divide both sides of the equation by (9.6736800982252) to get x
100/9.6736800982252=x
10.337327571784=x
x=10.337327571784

now we have:
179.18 is 10.337327571784% of 1733.33