70.36 is what percent of 230.47 - 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 230.47 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 230.47, so we can write it down as 100%=230.47.
4. We know, that x% equals 70.36 of the output value, so we can write it down as x%=70.36.
5. Now we have two simple equations:
1) 100%=230.47
2) x%=70.36
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%=230.47/70.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 70.36 is what percent of 230.47

100%/x%=230.47/70.36
(100/x)*x=(230.47/70.36)*x       - we multiply both sides of the equation by x
100=3.2755827174531*x       - we divide both sides of the equation by (3.2755827174531) to get x
100/3.2755827174531=x
30.528919165184=x
x=30.528919165184

now we have:
70.36 is 30.528919165184% of 230.47