229.2 is what percent of 970.497 - 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 970.497 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 970.497, so we can write it down as 100%=970.497.
4. We know, that x% equals 229.2 of the output value, so we can write it down as x%=229.2.
5. Now we have two simple equations:
1) 100%=970.497
2) x%=229.2
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%=970.497/229.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 229.2 is what percent of 970.497

100%/x%=970.497/229.2
(100/x)*x=(970.497/229.2)*x       - we multiply both sides of the equation by x
100=4.234280104712*x       - we divide both sides of the equation by (4.234280104712) to get x
100/4.234280104712=x
23.616765430496=x
x=23.616765430496

now we have:
229.2 is 23.616765430496% of 970.497