37.51 is what percent of 840 - 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 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, so we can write it down as 100%=840.
4. We know, that x% equals 37.51 of the output value, so we can write it down as x%=37.51.
5. Now we have two simple equations:
1) 100%=840
2) x%=37.51
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%=840/37.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.51 is what percent of 840

100%/x%=840/37.51
(100/x)*x=(840/37.51)*x       - we multiply both sides of the equation by x
100=22.394028259131*x       - we divide both sides of the equation by (22.394028259131) to get x
100/22.394028259131=x
4.4654761904762=x
x=4.4654761904762

now we have:
37.51 is 4.4654761904762% of 840