27.23 is what percent of 970.6 - 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 970.6 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 970.6, so we can write it down as 100%=970.6.
4. We know, that x% equals 27.23 of the output value, so we can write it down as x%=27.23.
5. Now we have two simple equations:
1) 100%=970.6
2) x%=27.23
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%=970.6/27.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.23 is what percent of 970.6

100%/x%=970.6/27.23
(100/x)*x=(970.6/27.23)*x       - we multiply both sides of the equation by x
100=35.644509731913*x       - we divide both sides of the equation by (35.644509731913) to get x
100/35.644509731913=x
2.8054811456831=x
x=2.8054811456831

now we have:
27.23 is 2.8054811456831% of 970.6