284.34 is what percent of 1.196 - 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 1.196 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 1.196, so we can write it down as 100%=1.196.
4. We know, that x% equals 284.34 of the output value, so we can write it down as x%=284.34.
5. Now we have two simple equations:
1) 100%=1.196
2) x%=284.34
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%=1.196/284.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 284.34 is what percent of 1.196

100%/x%=1.196/284.34
(100/x)*x=(1.196/284.34)*x       - we multiply both sides of the equation by x
100=0.0042062319758036*x       - we divide both sides of the equation by (0.0042062319758036) to get x
100/0.0042062319758036=x
23774.247491639=x
x=23774.247491639

now we have:
284.34 is 23774.247491639% of 1.196