170.76 is what percent of 215.73 - 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 215.73 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 215.73, so we can write it down as 100%=215.73.
4. We know, that x% equals 170.76 of the output value, so we can write it down as x%=170.76.
5. Now we have two simple equations:
1) 100%=215.73
2) x%=170.76
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%=215.73/170.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 170.76 is what percent of 215.73

100%/x%=215.73/170.76
(100/x)*x=(215.73/170.76)*x       - we multiply both sides of the equation by x
100=1.263352073085*x       - we divide both sides of the equation by (1.263352073085) to get x
100/1.263352073085=x
79.154498678904=x
x=79.154498678904

now we have:
170.76 is 79.154498678904% of 215.73