379.43 is what percent of 901.66 - 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 901.66 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 901.66, so we can write it down as 100%=901.66.
4. We know, that x% equals 379.43 of the output value, so we can write it down as x%=379.43.
5. Now we have two simple equations:
1) 100%=901.66
2) x%=379.43
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%=901.66/379.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 379.43 is what percent of 901.66

100%/x%=901.66/379.43
(100/x)*x=(901.66/379.43)*x       - we multiply both sides of the equation by x
100=2.3763540046912*x       - we divide both sides of the equation by (2.3763540046912) to get x
100/2.3763540046912=x
42.081272319943=x
x=42.081272319943

now we have:
379.43 is 42.081272319943% of 901.66