202.36 is what percent of 840.74 - 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 840.74 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 840.74, so we can write it down as 100%=840.74.
4. We know, that x% equals 202.36 of the output value, so we can write it down as x%=202.36.
5. Now we have two simple equations:
1) 100%=840.74
2) x%=202.36
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%=840.74/202.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 202.36 is what percent of 840.74

100%/x%=840.74/202.36
(100/x)*x=(840.74/202.36)*x       - we multiply both sides of the equation by x
100=4.1546748369243*x       - we divide both sides of the equation by (4.1546748369243) to get x
100/4.1546748369243=x
24.069272307729=x
x=24.069272307729

now we have:
202.36 is 24.069272307729% of 840.74