357.88 is what percent of 3213.82 - 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 3213.82 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 3213.82, so we can write it down as 100%=3213.82.
4. We know, that x% equals 357.88 of the output value, so we can write it down as x%=357.88.
5. Now we have two simple equations:
1) 100%=3213.82
2) x%=357.88
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%=3213.82/357.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 357.88 is what percent of 3213.82

100%/x%=3213.82/357.88
(100/x)*x=(3213.82/357.88)*x       - we multiply both sides of the equation by x
100=8.9801609478037*x       - we divide both sides of the equation by (8.9801609478037) to get x
100/8.9801609478037=x
11.135657877541=x
x=11.135657877541

now we have:
357.88 is 11.135657877541% of 3213.82