74 is what percent of 3203 - 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 3203 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 3203, so we can write it down as 100%=3203.
4. We know, that x% equals 74 of the output value, so we can write it down as x%=74.
5. Now we have two simple equations:
1) 100%=3203
2) x%=74
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%=3203/74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 74 is what percent of 3203

100%/x%=3203/74
(100/x)*x=(3203/74)*x       - we multiply both sides of the equation by x
100=43.283783783784*x       - we divide both sides of the equation by (43.283783783784) to get x
100/43.283783783784=x
2.310334061817=x
x=2.310334061817

now we have:
74 is 2.310334061817% of 3203