402.1 is what percent of 703.7 - 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 703.7 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 703.7, so we can write it down as 100%=703.7.
4. We know, that x% equals 402.1 of the output value, so we can write it down as x%=402.1.
5. Now we have two simple equations:
1) 100%=703.7
2) x%=402.1
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%=703.7/402.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 402.1 is what percent of 703.7

100%/x%=703.7/402.1
(100/x)*x=(703.7/402.1)*x       - we multiply both sides of the equation by x
100=1.7500621735887*x       - we divide both sides of the equation by (1.7500621735887) to get x
100/1.7500621735887=x
57.140827056985=x
x=57.140827056985

now we have:
402.1 is 57.140827056985% of 703.7